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Finding the Fourth Proportional to 16,229.52, 22,394.52 and 9,154.80

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Solution

The fourth proportional to 16,229.52, 22,394.52 and 9,154.80 is: 12,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.52 : 22,394.52 = 9,154.80 : x
  2. Step 2: Convert to fraction form
    16,229.52/22,394.52 = 9,154.80/x
  3. Step 3: Cross multiply
    16,229.52x = 22,394.52 × 9,154.80
  4. Step 4: Simplify right side
    16,229.52x = 205,017,351.70
  5. Step 5: Solve for x
    x = 205,017,351.70/16,229.52
  6. Step 6: Final answer
    x = 12,632.37

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1.5x scale

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.