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Finding the Fourth Proportional to 13,793.20, 20,689.80 and 13,647.40

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Solution

The fourth proportional to 13,793.20, 20,689.80 and 13,647.40 is: 20,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.20 : 20,689.80 = 13,647.40 : x
  2. Step 2: Convert to fraction form
    13,793.20/20,689.80 = 13,647.40/x
  3. Step 3: Cross multiply
    13,793.20x = 20,689.80 × 13,647.40
  4. Step 4: Simplify right side
    13,793.20x = 282,361,976.52
  5. Step 5: Solve for x
    x = 282,361,976.52/13,793.20
  6. Step 6: Final answer
    x = 20,471.10

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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.