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Finding the Fourth Proportional to 22,213.20, 30,634.20 and 14,654.16

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Solution

The fourth proportional to 22,213.20, 30,634.20 and 14,654.16 is: 20,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,213.20 : 30,634.20 = 14,654.16 : x
  2. Step 2: Convert to fraction form
    22,213.20/30,634.20 = 14,654.16/x
  3. Step 3: Cross multiply
    22,213.20x = 30,634.20 × 14,654.16
  4. Step 4: Simplify right side
    22,213.20x = 448,918,468.27
  5. Step 5: Solve for x
    x = 448,918,468.27/22,213.20
  6. Step 6: Final answer
    x = 20,209.54

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