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Finding the Fourth Proportional to 20,806.47, 31,195.12 and 7,657.13

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Solution

The fourth proportional to 20,806.47, 31,195.12 and 7,657.13 is: 11,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.47 : 31,195.12 = 7,657.13 : x
  2. Step 2: Convert to fraction form
    20,806.47/31,195.12 = 7,657.13/x
  3. Step 3: Cross multiply
    20,806.47x = 31,195.12 × 7,657.13
  4. Step 4: Simplify right side
    20,806.47x = 238,865,089.21
  5. Step 5: Solve for x
    x = 238,865,089.21/20,806.47
  6. Step 6: Final answer
    x = 11,480.33

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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.