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Finding the Fourth Proportional to 24,754.78, 37,132.14 and 11,597.53

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Solution

The fourth proportional to 24,754.78, 37,132.14 and 11,597.53 is: 17,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.78 : 37,132.14 = 11,597.53 : x
  2. Step 2: Convert to fraction form
    24,754.78/37,132.14 = 11,597.53/x
  3. Step 3: Cross multiply
    24,754.78x = 37,132.14 × 11,597.53
  4. Step 4: Simplify right side
    24,754.78x = 430,641,107.61
  5. Step 5: Solve for x
    x = 430,641,107.61/24,754.78
  6. Step 6: Final answer
    x = 17,396.28

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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.