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Finding the Fourth Proportional to 20,728.80, 31,097.20 and 8,882.40

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Solution

The fourth proportional to 20,728.80, 31,097.20 and 8,882.40 is: 13,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.80 : 31,097.20 = 8,882.40 : x
  2. Step 2: Convert to fraction form
    20,728.80/31,097.20 = 8,882.40/x
  3. Step 3: Cross multiply
    20,728.80x = 31,097.20 × 8,882.40
  4. Step 4: Simplify right side
    20,728.80x = 276,217,769.28
  5. Step 5: Solve for x
    x = 276,217,769.28/20,728.80
  6. Step 6: Final answer
    x = 13,325.31

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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.