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Finding the Fourth Proportional to 38,589.81, 57,884.10 and 12,294.37

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Solution

The fourth proportional to 38,589.81, 57,884.10 and 12,294.37 is: 18,441.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,589.81 : 57,884.10 = 12,294.37 : x
  2. Step 2: Convert to fraction form
    38,589.81/57,884.10 = 12,294.37/x
  3. Step 3: Cross multiply
    38,589.81x = 57,884.10 × 12,294.37
  4. Step 4: Simplify right side
    38,589.81x = 711,648,542.52
  5. Step 5: Solve for x
    x = 711,648,542.52/38,589.81
  6. Step 6: Final answer
    x = 18,441.36

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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.