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Finding the Fourth Proportional to 13,174.31, 18,175.35 and 8,129.74

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Solution

The fourth proportional to 13,174.31, 18,175.35 and 8,129.74 is: 11,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.31 : 18,175.35 = 8,129.74 : x
  2. Step 2: Convert to fraction form
    13,174.31/18,175.35 = 8,129.74/x
  3. Step 3: Cross multiply
    13,174.31x = 18,175.35 × 8,129.74
  4. Step 4: Simplify right side
    13,174.31x = 147,760,869.91
  5. Step 5: Solve for x
    x = 147,760,869.91/13,174.31
  6. Step 6: Final answer
    x = 11,215.83

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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.