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Finding the Fourth Proportional to 20,597.67, 30,902.31 and 5,806.72

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Solution

The fourth proportional to 20,597.67, 30,902.31 and 5,806.72 is: 8,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,597.67 : 30,902.31 = 5,806.72 : x
  2. Step 2: Convert to fraction form
    20,597.67/30,902.31 = 5,806.72/x
  3. Step 3: Cross multiply
    20,597.67x = 30,902.31 × 5,806.72
  4. Step 4: Simplify right side
    20,597.67x = 179,441,061.52
  5. Step 5: Solve for x
    x = 179,441,061.52/20,597.67
  6. Step 6: Final answer
    x = 8,711.72

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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.