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Finding the Fourth Proportional to 38,508.36, 57,771.18 and 12,214.68

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Solution

The fourth proportional to 38,508.36, 57,771.18 and 12,214.68 is: 18,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.36 : 57,771.18 = 12,214.68 : x
  2. Step 2: Convert to fraction form
    38,508.36/57,771.18 = 12,214.68/x
  3. Step 3: Cross multiply
    38,508.36x = 57,771.18 × 12,214.68
  4. Step 4: Simplify right side
    38,508.36x = 705,656,476.92
  5. Step 5: Solve for x
    x = 705,656,476.92/38,508.36
  6. Step 6: Final answer
    x = 18,324.76

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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.