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Finding the Fourth Proportional to 20,998.80, 31,500.90 and 10,474.20

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Solution

The fourth proportional to 20,998.80, 31,500.90 and 10,474.20 is: 15,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.80 : 31,500.90 = 10,474.20 : x
  2. Step 2: Convert to fraction form
    20,998.80/31,500.90 = 10,474.20/x
  3. Step 3: Cross multiply
    20,998.80x = 31,500.90 × 10,474.20
  4. Step 4: Simplify right side
    20,998.80x = 329,946,726.78
  5. Step 5: Solve for x
    x = 329,946,726.78/20,998.80
  6. Step 6: Final answer
    x = 15,712.65

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1.5x scale

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.