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Finding the Fourth Proportional to 20,167.70, 30,251.55 and 13,946.90

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Solution

The fourth proportional to 20,167.70, 30,251.55 and 13,946.90 is: 20,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,167.70 : 30,251.55 = 13,946.90 : x
  2. Step 2: Convert to fraction form
    20,167.70/30,251.55 = 13,946.90/x
  3. Step 3: Cross multiply
    20,167.70x = 30,251.55 × 13,946.90
  4. Step 4: Simplify right side
    20,167.70x = 421,915,342.70
  5. Step 5: Solve for x
    x = 421,915,342.70/20,167.70
  6. Step 6: Final answer
    x = 20,920.35

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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.