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Finding the Fourth Proportional to 12,886.29, 17,781.86 and 8,856.66

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Solution

The fourth proportional to 12,886.29, 17,781.86 and 8,856.66 is: 12,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.29 : 17,781.86 = 8,856.66 : x
  2. Step 2: Convert to fraction form
    12,886.29/17,781.86 = 8,856.66/x
  3. Step 3: Cross multiply
    12,886.29x = 17,781.86 × 8,856.66
  4. Step 4: Simplify right side
    12,886.29x = 157,487,843.90
  5. Step 5: Solve for x
    x = 157,487,843.90/12,886.29
  6. Step 6: Final answer
    x = 12,221.35

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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.