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Finding the Fourth Proportional to 23,223.75, 32,049.14 and 13,151.92

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Solution

The fourth proportional to 23,223.75, 32,049.14 and 13,151.92 is: 18,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.75 : 32,049.14 = 13,151.92 : x
  2. Step 2: Convert to fraction form
    23,223.75/32,049.14 = 13,151.92/x
  3. Step 3: Cross multiply
    23,223.75x = 32,049.14 × 13,151.92
  4. Step 4: Simplify right side
    23,223.75x = 421,507,725.35
  5. Step 5: Solve for x
    x = 421,507,725.35/23,223.75
  6. Step 6: Final answer
    x = 18,149.86

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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.