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Finding the Fourth Proportional to 20,191.60, 30,222.60 and 15,785.20

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Solution

The fourth proportional to 20,191.60, 30,222.60 and 15,785.20 is: 23,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,191.60 : 30,222.60 = 15,785.20 : x
  2. Step 2: Convert to fraction form
    20,191.60/30,222.60 = 15,785.20/x
  3. Step 3: Cross multiply
    20,191.60x = 30,222.60 × 15,785.20
  4. Step 4: Simplify right side
    20,191.60x = 477,069,785.52
  5. Step 5: Solve for x
    x = 477,069,785.52/20,191.60
  6. Step 6: Final answer
    x = 23,627.14

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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.