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Finding the Fourth Proportional to 24,281.57, 36,427.98 and 7,641.17

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Solution

The fourth proportional to 24,281.57, 36,427.98 and 7,641.17 is: 11,463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,281.57 : 36,427.98 = 7,641.17 : x
  2. Step 2: Convert to fraction form
    24,281.57/36,427.98 = 7,641.17/x
  3. Step 3: Cross multiply
    24,281.57x = 36,427.98 × 7,641.17
  4. Step 4: Simplify right side
    24,281.57x = 278,352,387.94
  5. Step 5: Solve for x
    x = 278,352,387.94/24,281.57
  6. Step 6: Final answer
    x = 11,463.53

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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.