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Finding the Fourth Proportional to 14,596.65, 20,140.65 and 8,222.76

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Solution

The fourth proportional to 14,596.65, 20,140.65 and 8,222.76 is: 11,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.65 : 20,140.65 = 8,222.76 : x
  2. Step 2: Convert to fraction form
    14,596.65/20,140.65 = 8,222.76/x
  3. Step 3: Cross multiply
    14,596.65x = 20,140.65 × 8,222.76
  4. Step 4: Simplify right side
    14,596.65x = 165,611,731.19
  5. Step 5: Solve for x
    x = 165,611,731.19/14,596.65
  6. Step 6: Final answer
    x = 11,345.87

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Half scale
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Double scale
Find fourth proportional to 14,597.65, 20,142.03 and 8,223.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.