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Finding the Fourth Proportional to 38,523.72, 57,780.40 and 12,231.12

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Solution

The fourth proportional to 38,523.72, 57,780.40 and 12,231.12 is: 18,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.72 : 57,780.40 = 12,231.12 : x
  2. Step 2: Convert to fraction form
    38,523.72/57,780.40 = 12,231.12/x
  3. Step 3: Cross multiply
    38,523.72x = 57,780.40 × 12,231.12
  4. Step 4: Simplify right side
    38,523.72x = 706,719,006.05
  5. Step 5: Solve for x
    x = 706,719,006.05/38,523.72
  6. Step 6: Final answer
    x = 18,345.04

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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.