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Finding the Fourth Proportional to 24,377.31, 36,570.50 and 7,732.86

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Solution

The fourth proportional to 24,377.31, 36,570.50 and 7,732.86 is: 11,600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.31 : 36,570.50 = 7,732.86 : x
  2. Step 2: Convert to fraction form
    24,377.31/36,570.50 = 7,732.86/x
  3. Step 3: Cross multiply
    24,377.31x = 36,570.50 × 7,732.86
  4. Step 4: Simplify right side
    24,377.31x = 282,794,453.32
  5. Step 5: Solve for x
    x = 282,794,453.32/24,377.31
  6. Step 6: Final answer
    x = 11,600.72

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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.