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Finding the Fourth Proportional to 16,452.38, 22,704.26 and 9,282.28

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Solution

The fourth proportional to 16,452.38, 22,704.26 and 9,282.28 is: 12,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452.38 : 22,704.26 = 9,282.28 : x
  2. Step 2: Convert to fraction form
    16,452.38/22,704.26 = 9,282.28/x
  3. Step 3: Cross multiply
    16,452.38x = 22,704.26 × 9,282.28
  4. Step 4: Simplify right side
    16,452.38x = 210,747,280.48
  5. Step 5: Solve for x
    x = 210,747,280.48/16,452.38
  6. Step 6: Final answer
    x = 12,809.53

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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.