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Finding the Fourth Proportional to 23,278.80, 32,157.12 and 22,414.65

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Solution

The fourth proportional to 23,278.80, 32,157.12 and 22,414.65 is: 30,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,278.80 : 32,157.12 = 22,414.65 : x
  2. Step 2: Convert to fraction form
    23,278.80/32,157.12 = 22,414.65/x
  3. Step 3: Cross multiply
    23,278.80x = 32,157.12 × 22,414.65
  4. Step 4: Simplify right side
    23,278.80x = 720,790,589.81
  5. Step 5: Solve for x
    x = 720,790,589.81/23,278.80
  6. Step 6: Final answer
    x = 30,963.39

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Why These Related Problems?

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