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Finding the Fourth Proportional to 23,348.52, 32,221.14 and 12,738.24

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Solution

The fourth proportional to 23,348.52, 32,221.14 and 12,738.24 is: 17,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,348.52 : 32,221.14 = 12,738.24 : x
  2. Step 2: Convert to fraction form
    23,348.52/32,221.14 = 12,738.24/x
  3. Step 3: Cross multiply
    23,348.52x = 32,221.14 × 12,738.24
  4. Step 4: Simplify right side
    23,348.52x = 410,440,614.39
  5. Step 5: Solve for x
    x = 410,440,614.39/23,348.52
  6. Step 6: Final answer
    x = 17,578.87

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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.