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Finding the Fourth Proportional to 23,314.53, 32,174.03 and 12,704.16

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Solution

The fourth proportional to 23,314.53, 32,174.03 and 12,704.16 is: 17,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.53 : 32,174.03 = 12,704.16 : x
  2. Step 2: Convert to fraction form
    23,314.53/32,174.03 = 12,704.16/x
  3. Step 3: Cross multiply
    23,314.53x = 32,174.03 × 12,704.16
  4. Step 4: Simplify right side
    23,314.53x = 408,744,177.38
  5. Step 5: Solve for x
    x = 408,744,177.38/23,314.53
  6. Step 6: Final answer
    x = 17,531.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.