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Finding the Fourth Proportional to 23,194.62, 34,781.13 and 8,402.94

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Solution

The fourth proportional to 23,194.62, 34,781.13 and 8,402.94 is: 12,600.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.62 : 34,781.13 = 8,402.94 : x
  2. Step 2: Convert to fraction form
    23,194.62/34,781.13 = 8,402.94/x
  3. Step 3: Cross multiply
    23,194.62x = 34,781.13 × 8,402.94
  4. Step 4: Simplify right side
    23,194.62x = 292,263,748.52
  5. Step 5: Solve for x
    x = 292,263,748.52/23,194.62
  6. Step 6: Final answer
    x = 12,600.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.