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Finding the Fourth Proportional to 11,732.30, 17,600.17 and 3,411.24

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Solution

The fourth proportional to 11,732.30, 17,600.17 and 3,411.24 is: 5,117.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.30 : 17,600.17 = 3,411.24 : x
  2. Step 2: Convert to fraction form
    11,732.30/17,600.17 = 3,411.24/x
  3. Step 3: Cross multiply
    11,732.30x = 17,600.17 × 3,411.24
  4. Step 4: Simplify right side
    11,732.30x = 60,038,403.91
  5. Step 5: Solve for x
    x = 60,038,403.91/11,732.30
  6. Step 6: Final answer
    x = 5,117.36

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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.