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Finding the Fourth Proportional to 13,478.40, 20,239.20 and 10,195.20

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Solution

The fourth proportional to 13,478.40, 20,239.20 and 10,195.20 is: 15,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.40 : 20,239.20 = 10,195.20 : x
  2. Step 2: Convert to fraction form
    13,478.40/20,239.20 = 10,195.20/x
  3. Step 3: Cross multiply
    13,478.40x = 20,239.20 × 10,195.20
  4. Step 4: Simplify right side
    13,478.40x = 206,342,691.84
  5. Step 5: Solve for x
    x = 206,342,691.84/13,478.40
  6. Step 6: Final answer
    x = 15,309.14

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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.