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Finding the Fourth Proportional to 16,645.38, 24,934.05 and 7,747.26

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Solution

The fourth proportional to 16,645.38, 24,934.05 and 7,747.26 is: 11,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,645.38 : 24,934.05 = 7,747.26 : x
  2. Step 2: Convert to fraction form
    16,645.38/24,934.05 = 7,747.26/x
  3. Step 3: Cross multiply
    16,645.38x = 24,934.05 × 7,747.26
  4. Step 4: Simplify right side
    16,645.38x = 193,170,568.20
  5. Step 5: Solve for x
    x = 193,170,568.20/16,645.38
  6. Step 6: Final answer
    x = 11,605.06

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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.