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Finding the Fourth Proportional to 29,344.68, 40,489.43 and 17,411.90

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Solution

The fourth proportional to 29,344.68, 40,489.43 and 17,411.90 is: 24,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,344.68 : 40,489.43 = 17,411.90 : x
  2. Step 2: Convert to fraction form
    29,344.68/40,489.43 = 17,411.90/x
  3. Step 3: Cross multiply
    29,344.68x = 40,489.43 × 17,411.90
  4. Step 4: Simplify right side
    29,344.68x = 704,997,616.71
  5. Step 5: Solve for x
    x = 704,997,616.71/29,344.68
  6. Step 6: Final answer
    x = 24,024.72

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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.