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Finding the Fourth Proportional to 20,806.72, 31,195.49 and 7,657.38

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Solution

The fourth proportional to 20,806.72, 31,195.49 and 7,657.38 is: 11,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.72 : 31,195.49 = 7,657.38 : x
  2. Step 2: Convert to fraction form
    20,806.72/31,195.49 = 7,657.38/x
  3. Step 3: Cross multiply
    20,806.72x = 31,195.49 × 7,657.38
  4. Step 4: Simplify right side
    20,806.72x = 238,875,721.22
  5. Step 5: Solve for x
    x = 238,875,721.22/20,806.72
  6. Step 6: Final answer
    x = 11,480.70

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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.