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Finding the Fourth Proportional to 23,314.68, 32,174.24 and 12,704.28

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Solution

The fourth proportional to 23,314.68, 32,174.24 and 12,704.28 is: 17,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.68 : 32,174.24 = 12,704.28 : x
  2. Step 2: Convert to fraction form
    23,314.68/32,174.24 = 12,704.28/x
  3. Step 3: Cross multiply
    23,314.68x = 32,174.24 × 12,704.28
  4. Step 4: Simplify right side
    23,314.68x = 408,750,553.75
  5. Step 5: Solve for x
    x = 408,750,553.75/23,314.68
  6. Step 6: Final answer
    x = 17,531.90

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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.