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Finding the Fourth Proportional to 13,924.62, 19,215.72 and 7,874.78

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Solution

The fourth proportional to 13,924.62, 19,215.72 and 7,874.78 is: 10,867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.62 : 19,215.72 = 7,874.78 : x
  2. Step 2: Convert to fraction form
    13,924.62/19,215.72 = 7,874.78/x
  3. Step 3: Cross multiply
    13,924.62x = 19,215.72 × 7,874.78
  4. Step 4: Simplify right side
    13,924.62x = 151,319,471.46
  5. Step 5: Solve for x
    x = 151,319,471.46/13,924.62
  6. Step 6: Final answer
    x = 10,867.04

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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.