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Finding the Fourth Proportional to 14,453.99, 19,946.90 and 8,166.23

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Solution

The fourth proportional to 14,453.99, 19,946.90 and 8,166.23 is: 11,269.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.99 : 19,946.90 = 8,166.23 : x
  2. Step 2: Convert to fraction form
    14,453.99/19,946.90 = 8,166.23/x
  3. Step 3: Cross multiply
    14,453.99x = 19,946.90 × 8,166.23
  4. Step 4: Simplify right side
    14,453.99x = 162,890,932.36
  5. Step 5: Solve for x
    x = 162,890,932.36/14,453.99
  6. Step 6: Final answer
    x = 11,269.62

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Double scale
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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.