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Finding the Fourth Proportional to 15,508.62, 23,272.05 and 5,648.49

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Solution

The fourth proportional to 15,508.62, 23,272.05 and 5,648.49 is: 8,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.62 : 23,272.05 = 5,648.49 : x
  2. Step 2: Convert to fraction form
    15,508.62/23,272.05 = 5,648.49/x
  3. Step 3: Cross multiply
    15,508.62x = 23,272.05 × 5,648.49
  4. Step 4: Simplify right side
    15,508.62x = 131,451,941.70
  5. Step 5: Solve for x
    x = 131,451,941.70/15,508.62
  6. Step 6: Final answer
    x = 8,476.06

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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.