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Finding the Fourth Proportional to 38,323.64, 57,487.08 and 13,366.20

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Solution

The fourth proportional to 38,323.64, 57,487.08 and 13,366.20 is: 20,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,323.64 : 57,487.08 = 13,366.20 : x
  2. Step 2: Convert to fraction form
    38,323.64/57,487.08 = 13,366.20/x
  3. Step 3: Cross multiply
    38,323.64x = 57,487.08 × 13,366.20
  4. Step 4: Simplify right side
    38,323.64x = 768,383,808.70
  5. Step 5: Solve for x
    x = 768,383,808.70/38,323.64
  6. Step 6: Final answer
    x = 20,049.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.