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Finding the Fourth Proportional to 16,635, 24,947.12 and 5,538.72

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Solution

The fourth proportional to 16,635, 24,947.12 and 5,538.72 is: 8,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635 : 24,947.12 = 5,538.72 : x
  2. Step 2: Convert to fraction form
    16,635/24,947.12 = 5,538.72/x
  3. Step 3: Cross multiply
    16,635x = 24,947.12 × 5,538.72
  4. Step 4: Simplify right side
    16,635x = 138,175,112.49
  5. Step 5: Solve for x
    x = 138,175,112.49/16,635
  6. Step 6: Final answer
    x = 8,306.29

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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.