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Finding the Fourth Proportional to 20,178.20, 30,267.30 and 10,314.20

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Solution

The fourth proportional to 20,178.20, 30,267.30 and 10,314.20 is: 15,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.20 : 30,267.30 = 10,314.20 : x
  2. Step 2: Convert to fraction form
    20,178.20/30,267.30 = 10,314.20/x
  3. Step 3: Cross multiply
    20,178.20x = 30,267.30 × 10,314.20
  4. Step 4: Simplify right side
    20,178.20x = 312,182,985.66
  5. Step 5: Solve for x
    x = 312,182,985.66/20,178.20
  6. Step 6: Final answer
    x = 15,471.30

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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.