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Finding the Fourth Proportional to 27,471.20, 41,206.80 and 9,934.70

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Solution

The fourth proportional to 27,471.20, 41,206.80 and 9,934.70 is: 14,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.20 : 41,206.80 = 9,934.70 : x
  2. Step 2: Convert to fraction form
    27,471.20/41,206.80 = 9,934.70/x
  3. Step 3: Cross multiply
    27,471.20x = 41,206.80 × 9,934.70
  4. Step 4: Simplify right side
    27,471.20x = 409,377,195.96
  5. Step 5: Solve for x
    x = 409,377,195.96/27,471.20
  6. Step 6: Final answer
    x = 14,902.05

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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.