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Finding the Fourth Proportional to 38,422.72, 57,622.88 and 13,458.24

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Solution

The fourth proportional to 38,422.72, 57,622.88 and 13,458.24 is: 20,183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.72 : 57,622.88 = 13,458.24 : x
  2. Step 2: Convert to fraction form
    38,422.72/57,622.88 = 13,458.24/x
  3. Step 3: Cross multiply
    38,422.72x = 57,622.88 × 13,458.24
  4. Step 4: Simplify right side
    38,422.72x = 775,502,548.53
  5. Step 5: Solve for x
    x = 775,502,548.53/38,422.72
  6. Step 6: Final answer
    x = 20,183.44

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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.