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Finding the Fourth Proportional to 24,916.20, 34,311.78 and 20,164.20

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Solution

The fourth proportional to 24,916.20, 34,311.78 and 20,164.20 is: 27,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,916.20 : 34,311.78 = 20,164.20 : x
  2. Step 2: Convert to fraction form
    24,916.20/34,311.78 = 20,164.20/x
  3. Step 3: Cross multiply
    24,916.20x = 34,311.78 × 20,164.20
  4. Step 4: Simplify right side
    24,916.20x = 691,869,594.28
  5. Step 5: Solve for x
    x = 691,869,594.28/24,916.20
  6. Step 6: Final answer
    x = 27,767.86

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1.5x scale

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.