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Finding the Fourth Proportional to 23,142.85, 31,937.01 and 12,532.39

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Solution

The fourth proportional to 23,142.85, 31,937.01 and 12,532.39 is: 17,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.85 : 31,937.01 = 12,532.39 : x
  2. Step 2: Convert to fraction form
    23,142.85/31,937.01 = 12,532.39/x
  3. Step 3: Cross multiply
    23,142.85x = 31,937.01 × 12,532.39
  4. Step 4: Simplify right side
    23,142.85x = 400,247,064.75
  5. Step 5: Solve for x
    x = 400,247,064.75/23,142.85
  6. Step 6: Final answer
    x = 17,294.63

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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.