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Finding the Fourth Proportional to 16,542.67, 24,793.50 and 7,759.13

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Solution

The fourth proportional to 16,542.67, 24,793.50 and 7,759.13 is: 11,629.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.67 : 24,793.50 = 7,759.13 : x
  2. Step 2: Convert to fraction form
    16,542.67/24,793.50 = 7,759.13/x
  3. Step 3: Cross multiply
    16,542.67x = 24,793.50 × 7,759.13
  4. Step 4: Simplify right side
    16,542.67x = 192,376,071.04
  5. Step 5: Solve for x
    x = 192,376,071.04/16,542.67
  6. Step 6: Final answer
    x = 11,629.08

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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.