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Finding the Fourth Proportional to 24,502.12, 36,720.88 and 9,702.96

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Solution

The fourth proportional to 24,502.12, 36,720.88 and 9,702.96 is: 14,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.12 : 36,720.88 = 9,702.96 : x
  2. Step 2: Convert to fraction form
    24,502.12/36,720.88 = 9,702.96/x
  3. Step 3: Cross multiply
    24,502.12x = 36,720.88 × 9,702.96
  4. Step 4: Simplify right side
    24,502.12x = 356,301,229.80
  5. Step 5: Solve for x
    x = 356,301,229.80/24,502.12
  6. Step 6: Final answer
    x = 14,541.65

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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.