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Finding the Fourth Proportional to 38,581.20, 57,866.40 and 12,288.60

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Solution

The fourth proportional to 38,581.20, 57,866.40 and 12,288.60 is: 18,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,581.20 : 57,866.40 = 12,288.60 : x
  2. Step 2: Convert to fraction form
    38,581.20/57,866.40 = 12,288.60/x
  3. Step 3: Cross multiply
    38,581.20x = 57,866.40 × 12,288.60
  4. Step 4: Simplify right side
    38,581.20x = 711,097,043.04
  5. Step 5: Solve for x
    x = 711,097,043.04/38,581.20
  6. Step 6: Final answer
    x = 18,431.18

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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.