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Finding the Fourth Proportional to 20,586.59, 30,884.56 and 7,438.97

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Solution

The fourth proportional to 20,586.59, 30,884.56 and 7,438.97 is: 11,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,586.59 : 30,884.56 = 7,438.97 : x
  2. Step 2: Convert to fraction form
    20,586.59/30,884.56 = 7,438.97/x
  3. Step 3: Cross multiply
    20,586.59x = 30,884.56 × 7,438.97
  4. Step 4: Simplify right side
    20,586.59x = 229,749,373.92
  5. Step 5: Solve for x
    x = 229,749,373.92/20,586.59
  6. Step 6: Final answer
    x = 11,160.15

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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.