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Finding the Fourth Proportional to 15,178.32, 20,934.25 and 9,874.85

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Solution

The fourth proportional to 15,178.32, 20,934.25 and 9,874.85 is: 13,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,178.32 : 20,934.25 = 9,874.85 : x
  2. Step 2: Convert to fraction form
    15,178.32/20,934.25 = 9,874.85/x
  3. Step 3: Cross multiply
    15,178.32x = 20,934.25 × 9,874.85
  4. Step 4: Simplify right side
    15,178.32x = 206,722,449.25
  5. Step 5: Solve for x
    x = 206,722,449.25/15,178.32
  6. Step 6: Final answer
    x = 13,619.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.