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Finding the Fourth Proportional to 14,186.92, 19,565.16 and 8,882.20

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Solution

The fourth proportional to 14,186.92, 19,565.16 and 8,882.20 is: 12,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.92 : 19,565.16 = 8,882.20 : x
  2. Step 2: Convert to fraction form
    14,186.92/19,565.16 = 8,882.20/x
  3. Step 3: Cross multiply
    14,186.92x = 19,565.16 × 8,882.20
  4. Step 4: Simplify right side
    14,186.92x = 173,781,664.15
  5. Step 5: Solve for x
    x = 173,781,664.15/14,186.92
  6. Step 6: Final answer
    x = 12,249.43

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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.