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Finding the Fourth Proportional to 15,202.20, 20,978.84 and 8,487.95

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Solution

The fourth proportional to 15,202.20, 20,978.84 and 8,487.95 is: 11,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.20 : 20,978.84 = 8,487.95 : x
  2. Step 2: Convert to fraction form
    15,202.20/20,978.84 = 8,487.95/x
  3. Step 3: Cross multiply
    15,202.20x = 20,978.84 × 8,487.95
  4. Step 4: Simplify right side
    15,202.20x = 178,067,261.30
  5. Step 5: Solve for x
    x = 178,067,261.30/15,202.20
  6. Step 6: Final answer
    x = 11,713.25

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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.