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Finding the Fourth Proportional to 14,596.65, 20,139.21 and 8,221.01

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Solution

The fourth proportional to 14,596.65, 20,139.21 and 8,221.01 is: 11,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.65 : 20,139.21 = 8,221.01 : x
  2. Step 2: Convert to fraction form
    14,596.65/20,139.21 = 8,221.01/x
  3. Step 3: Cross multiply
    14,596.65x = 20,139.21 × 8,221.01
  4. Step 4: Simplify right side
    14,596.65x = 165,564,691.75
  5. Step 5: Solve for x
    x = 165,564,691.75/14,596.65
  6. Step 6: Final answer
    x = 11,342.65

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