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Finding the Fourth Proportional to 24,264.38, 36,374.91 and 9,469.85

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Solution

The fourth proportional to 24,264.38, 36,374.91 and 9,469.85 is: 14,196.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264.38 : 36,374.91 = 9,469.85 : x
  2. Step 2: Convert to fraction form
    24,264.38/36,374.91 = 9,469.85/x
  3. Step 3: Cross multiply
    24,264.38x = 36,374.91 × 9,469.85
  4. Step 4: Simplify right side
    24,264.38x = 344,464,759.59
  5. Step 5: Solve for x
    x = 344,464,759.59/24,264.38
  6. Step 6: Final answer
    x = 14,196.32

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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.