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Finding the Fourth Proportional to 13,691.92, 18,895.12 and 8,031

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Solution

The fourth proportional to 13,691.92, 18,895.12 and 8,031 is: 11,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.92 : 18,895.12 = 8,031 : x
  2. Step 2: Convert to fraction form
    13,691.92/18,895.12 = 8,031/x
  3. Step 3: Cross multiply
    13,691.92x = 18,895.12 × 8,031
  4. Step 4: Simplify right side
    13,691.92x = 151,746,708.72
  5. Step 5: Solve for x
    x = 151,746,708.72/13,691.92
  6. Step 6: Final answer
    x = 11,082.94

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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.