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Finding the Fourth Proportional to 20,806.48, 31,212.81 and 7,657.90

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Solution

The fourth proportional to 20,806.48, 31,212.81 and 7,657.90 is: 11,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.48 : 31,212.81 = 7,657.90 : x
  2. Step 2: Convert to fraction form
    20,806.48/31,212.81 = 7,657.90/x
  3. Step 3: Cross multiply
    20,806.48x = 31,212.81 × 7,657.90
  4. Step 4: Simplify right side
    20,806.48x = 239,024,577.70
  5. Step 5: Solve for x
    x = 239,024,577.70/20,806.48
  6. Step 6: Final answer
    x = 11,487.99

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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.