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Finding the Fourth Proportional to 38,471.20, 57,713.10 and 12,169.60

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Solution

The fourth proportional to 38,471.20, 57,713.10 and 12,169.60 is: 18,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,471.20 : 57,713.10 = 12,169.60 : x
  2. Step 2: Convert to fraction form
    38,471.20/57,713.10 = 12,169.60/x
  3. Step 3: Cross multiply
    38,471.20x = 57,713.10 × 12,169.60
  4. Step 4: Simplify right side
    38,471.20x = 702,345,341.76
  5. Step 5: Solve for x
    x = 702,345,341.76/38,471.20
  6. Step 6: Final answer
    x = 18,256.39

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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.