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Finding the Fourth Proportional to 38,480.40, 57,709.80 and 12,193.20

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Solution

The fourth proportional to 38,480.40, 57,709.80 and 12,193.20 is: 18,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,480.40 : 57,709.80 = 12,193.20 : x
  2. Step 2: Convert to fraction form
    38,480.40/57,709.80 = 12,193.20/x
  3. Step 3: Cross multiply
    38,480.40x = 57,709.80 × 12,193.20
  4. Step 4: Simplify right side
    38,480.40x = 703,667,133.36
  5. Step 5: Solve for x
    x = 703,667,133.36/38,480.40
  6. Step 6: Final answer
    x = 18,286.38

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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.