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Finding the Fourth Proportional to 12,167.96, 16,790.76 and 6,864.08

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Solution

The fourth proportional to 12,167.96, 16,790.76 and 6,864.08 is: 9,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.96 : 16,790.76 = 6,864.08 : x
  2. Step 2: Convert to fraction form
    12,167.96/16,790.76 = 6,864.08/x
  3. Step 3: Cross multiply
    12,167.96x = 16,790.76 × 6,864.08
  4. Step 4: Simplify right side
    12,167.96x = 115,253,119.90
  5. Step 5: Solve for x
    x = 115,253,119.90/12,167.96
  6. Step 6: Final answer
    x = 9,471.85

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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.