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Finding the Fourth Proportional to 22,654.40, 34,003.22 and 13,906.40

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Solution

The fourth proportional to 22,654.40, 34,003.22 and 13,906.40 is: 20,872.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.40 : 34,003.22 = 13,906.40 : x
  2. Step 2: Convert to fraction form
    22,654.40/34,003.22 = 13,906.40/x
  3. Step 3: Cross multiply
    22,654.40x = 34,003.22 × 13,906.40
  4. Step 4: Simplify right side
    22,654.40x = 472,862,139.06
  5. Step 5: Solve for x
    x = 472,862,139.06/22,654.40
  6. Step 6: Final answer
    x = 20,872.87

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1.5x scale

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.