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Finding the Fourth Proportional to 13,841.31, 19,102.41 and 8,177.89

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Solution

The fourth proportional to 13,841.31, 19,102.41 and 8,177.89 is: 11,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,841.31 : 19,102.41 = 8,177.89 : x
  2. Step 2: Convert to fraction form
    13,841.31/19,102.41 = 8,177.89/x
  3. Step 3: Cross multiply
    13,841.31x = 19,102.41 × 8,177.89
  4. Step 4: Simplify right side
    13,841.31x = 156,217,407.71
  5. Step 5: Solve for x
    x = 156,217,407.71/13,841.31
  6. Step 6: Final answer
    x = 11,286.32

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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.