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Finding the Fourth Proportional to 12,876.32, 17,766.12 and 8,158.88

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Solution

The fourth proportional to 12,876.32, 17,766.12 and 8,158.88 is: 11,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.32 : 17,766.12 = 8,158.88 : x
  2. Step 2: Convert to fraction form
    12,876.32/17,766.12 = 8,158.88/x
  3. Step 3: Cross multiply
    12,876.32x = 17,766.12 × 8,158.88
  4. Step 4: Simplify right side
    12,876.32x = 144,951,641.15
  5. Step 5: Solve for x
    x = 144,951,641.15/12,876.32
  6. Step 6: Final answer
    x = 11,257.23

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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.