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Finding the Fourth Proportional to 13,892.38, 19,177.74 and 8,863.36

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Solution

The fourth proportional to 13,892.38, 19,177.74 and 8,863.36 is: 12,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.38 : 19,177.74 = 8,863.36 : x
  2. Step 2: Convert to fraction form
    13,892.38/19,177.74 = 8,863.36/x
  3. Step 3: Cross multiply
    13,892.38x = 19,177.74 × 8,863.36
  4. Step 4: Simplify right side
    13,892.38x = 169,979,213.61
  5. Step 5: Solve for x
    x = 169,979,213.61/13,892.38
  6. Step 6: Final answer
    x = 12,235.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.