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Finding the Fourth Proportional to 22,781.57, 34,185.11 and 9,643.78

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Solution

The fourth proportional to 22,781.57, 34,185.11 and 9,643.78 is: 14,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.57 : 34,185.11 = 9,643.78 : x
  2. Step 2: Convert to fraction form
    22,781.57/34,185.11 = 9,643.78/x
  3. Step 3: Cross multiply
    22,781.57x = 34,185.11 × 9,643.78
  4. Step 4: Simplify right side
    22,781.57x = 329,673,680.12
  5. Step 5: Solve for x
    x = 329,673,680.12/22,781.57
  6. Step 6: Final answer
    x = 14,471.07

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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.