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Finding the Fourth Proportional to 12,278.43, 16,931.52 and 8,691.75

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Solution

The fourth proportional to 12,278.43, 16,931.52 and 8,691.75 is: 11,985.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.43 : 16,931.52 = 8,691.75 : x
  2. Step 2: Convert to fraction form
    12,278.43/16,931.52 = 8,691.75/x
  3. Step 3: Cross multiply
    12,278.43x = 16,931.52 × 8,691.75
  4. Step 4: Simplify right side
    12,278.43x = 147,164,538.96
  5. Step 5: Solve for x
    x = 147,164,538.96/12,278.43
  6. Step 6: Final answer
    x = 11,985.62

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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.