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Finding the Fourth Proportional to 19,534.43, 29,264.92 and 9,662.15

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Solution

The fourth proportional to 19,534.43, 29,264.92 and 9,662.15 is: 14,475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.43 : 29,264.92 = 9,662.15 : x
  2. Step 2: Convert to fraction form
    19,534.43/29,264.92 = 9,662.15/x
  3. Step 3: Cross multiply
    19,534.43x = 29,264.92 × 9,662.15
  4. Step 4: Simplify right side
    19,534.43x = 282,762,046.78
  5. Step 5: Solve for x
    x = 282,762,046.78/19,534.43
  6. Step 6: Final answer
    x = 14,475.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.