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Finding the Fourth Proportional to 23,131.65, 34,717.14 and 9,101.49

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Solution

The fourth proportional to 23,131.65, 34,717.14 and 9,101.49 is: 13,659.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,131.65 : 34,717.14 = 9,101.49 : x
  2. Step 2: Convert to fraction form
    23,131.65/34,717.14 = 9,101.49/x
  3. Step 3: Cross multiply
    23,131.65x = 34,717.14 × 9,101.49
  4. Step 4: Simplify right side
    23,131.65x = 315,977,702.54
  5. Step 5: Solve for x
    x = 315,977,702.54/23,131.65
  6. Step 6: Final answer
    x = 13,659.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.