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Finding the Fourth Proportional to 24,291.25, 36,436.88 and 6,761.53

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Solution

The fourth proportional to 24,291.25, 36,436.88 and 6,761.53 is: 10,142.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.25 : 36,436.88 = 6,761.53 : x
  2. Step 2: Convert to fraction form
    24,291.25/36,436.88 = 6,761.53/x
  3. Step 3: Cross multiply
    24,291.25x = 36,436.88 × 6,761.53
  4. Step 4: Simplify right side
    24,291.25x = 246,369,160.06
  5. Step 5: Solve for x
    x = 246,369,160.06/24,291.25
  6. Step 6: Final answer
    x = 10,142.30

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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.