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Finding the Fourth Proportional to 22,902.42, 34,418.16 and 13,546.83

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Solution

The fourth proportional to 22,902.42, 34,418.16 and 13,546.83 is: 20,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.42 : 34,418.16 = 13,546.83 : x
  2. Step 2: Convert to fraction form
    22,902.42/34,418.16 = 13,546.83/x
  3. Step 3: Cross multiply
    22,902.42x = 34,418.16 × 13,546.83
  4. Step 4: Simplify right side
    22,902.42x = 466,256,962.43
  5. Step 5: Solve for x
    x = 466,256,962.43/22,902.42
  6. Step 6: Final answer
    x = 20,358.41

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