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Finding the Fourth Proportional to 22,800, 34,171.92 and 16,190.40

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Solution

The fourth proportional to 22,800, 34,171.92 and 16,190.40 is: 24,265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,800 : 34,171.92 = 16,190.40 : x
  2. Step 2: Convert to fraction form
    22,800/34,171.92 = 16,190.40/x
  3. Step 3: Cross multiply
    22,800x = 34,171.92 × 16,190.40
  4. Step 4: Simplify right side
    22,800x = 553,257,053.57
  5. Step 5: Solve for x
    x = 553,257,053.57/22,800
  6. Step 6: Final answer
    x = 24,265.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.