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Finding the Fourth Proportional to 20,806.59, 31,195.31 and 7,657.25

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Solution

The fourth proportional to 20,806.59, 31,195.31 and 7,657.25 is: 11,480.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.59 : 31,195.31 = 7,657.25 : x
  2. Step 2: Convert to fraction form
    20,806.59/31,195.31 = 7,657.25/x
  3. Step 3: Cross multiply
    20,806.59x = 31,195.31 × 7,657.25
  4. Step 4: Simplify right side
    20,806.59x = 238,870,327.20
  5. Step 5: Solve for x
    x = 238,870,327.20/20,806.59
  6. Step 6: Final answer
    x = 11,480.51

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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.