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Finding the Fourth Proportional to 22,604.80, 31,206.38 and 17,557.72

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Solution

The fourth proportional to 22,604.80, 31,206.38 and 17,557.72 is: 24,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.80 : 31,206.38 = 17,557.72 : x
  2. Step 2: Convert to fraction form
    22,604.80/31,206.38 = 17,557.72/x
  3. Step 3: Cross multiply
    22,604.80x = 31,206.38 × 17,557.72
  4. Step 4: Simplify right side
    22,604.80x = 547,912,794.47
  5. Step 5: Solve for x
    x = 547,912,794.47/22,604.80
  6. Step 6: Final answer
    x = 24,238.78

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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.