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Finding the Fourth Proportional to 20,165.60, 30,248.40 and 12,378.80

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Solution

The fourth proportional to 20,165.60, 30,248.40 and 12,378.80 is: 18,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.60 : 30,248.40 = 12,378.80 : x
  2. Step 2: Convert to fraction form
    20,165.60/30,248.40 = 12,378.80/x
  3. Step 3: Cross multiply
    20,165.60x = 30,248.40 × 12,378.80
  4. Step 4: Simplify right side
    20,165.60x = 374,438,893.92
  5. Step 5: Solve for x
    x = 374,438,893.92/20,165.60
  6. Step 6: Final answer
    x = 18,568.20

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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.