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Finding the Fourth Proportional to 20,232.38, 30,327.78 and 7,749.02

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Solution

The fourth proportional to 20,232.38, 30,327.78 and 7,749.02 is: 11,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.38 : 30,327.78 = 7,749.02 : x
  2. Step 2: Convert to fraction form
    20,232.38/30,327.78 = 7,749.02/x
  3. Step 3: Cross multiply
    20,232.38x = 30,327.78 × 7,749.02
  4. Step 4: Simplify right side
    20,232.38x = 235,010,573.78
  5. Step 5: Solve for x
    x = 235,010,573.78/20,232.38
  6. Step 6: Final answer
    x = 11,615.57

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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.