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Finding the Fourth Proportional to 22,757.96, 34,257.71 and 16,229.32

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Solution

The fourth proportional to 22,757.96, 34,257.71 and 16,229.32 is: 24,430.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.96 : 34,257.71 = 16,229.32 : x
  2. Step 2: Convert to fraction form
    22,757.96/34,257.71 = 16,229.32/x
  3. Step 3: Cross multiply
    22,757.96x = 34,257.71 × 16,229.32
  4. Step 4: Simplify right side
    22,757.96x = 555,979,338.06
  5. Step 5: Solve for x
    x = 555,979,338.06/22,757.96
  6. Step 6: Final answer
    x = 24,430.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.