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Finding the Fourth Proportional to 12,446.40, 18,691.20 and 12,057.60

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Solution

The fourth proportional to 12,446.40, 18,691.20 and 12,057.60 is: 18,107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.40 : 18,691.20 = 12,057.60 : x
  2. Step 2: Convert to fraction form
    12,446.40/18,691.20 = 12,057.60/x
  3. Step 3: Cross multiply
    12,446.40x = 18,691.20 × 12,057.60
  4. Step 4: Simplify right side
    12,446.40x = 225,371,013.12
  5. Step 5: Solve for x
    x = 225,371,013.12/12,446.40
  6. Step 6: Final answer
    x = 18,107.33

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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.