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Finding the Fourth Proportional to 22,280.64, 30,747.25 and 12,209.71

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Solution

The fourth proportional to 22,280.64, 30,747.25 and 12,209.71 is: 16,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280.64 : 30,747.25 = 12,209.71 : x
  2. Step 2: Convert to fraction form
    22,280.64/30,747.25 = 12,209.71/x
  3. Step 3: Cross multiply
    22,280.64x = 30,747.25 × 12,209.71
  4. Step 4: Simplify right side
    22,280.64x = 375,415,005.80
  5. Step 5: Solve for x
    x = 375,415,005.80/22,280.64
  6. Step 6: Final answer
    x = 16,849.38

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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.