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Finding the Fourth Proportional to 29,325, 43,960.17 and 11,565.30

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Solution

The fourth proportional to 29,325, 43,960.17 and 11,565.30 is: 17,337.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,325 : 43,960.17 = 11,565.30 : x
  2. Step 2: Convert to fraction form
    29,325/43,960.17 = 11,565.30/x
  3. Step 3: Cross multiply
    29,325x = 43,960.17 × 11,565.30
  4. Step 4: Simplify right side
    29,325x = 508,412,554.10
  5. Step 5: Solve for x
    x = 508,412,554.10/29,325
  6. Step 6: Final answer
    x = 17,337.17

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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.