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Finding the Fourth Proportional to 11,732.31, 17,593.74 and 4,233.74

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Solution

The fourth proportional to 11,732.31, 17,593.74 and 4,233.74 is: 6,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.31 : 17,593.74 = 4,233.74 : x
  2. Step 2: Convert to fraction form
    11,732.31/17,593.74 = 4,233.74/x
  3. Step 3: Cross multiply
    11,732.31x = 17,593.74 × 4,233.74
  4. Step 4: Simplify right side
    11,732.31x = 74,487,232.82
  5. Step 5: Solve for x
    x = 74,487,232.82/11,732.31
  6. Step 6: Final answer
    x = 6,348.90

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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.