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Finding the Fourth Proportional to 20,806.12, 31,207.97 and 6,014.71

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Solution

The fourth proportional to 20,806.12, 31,207.97 and 6,014.71 is: 9,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.12 : 31,207.97 = 6,014.71 : x
  2. Step 2: Convert to fraction form
    20,806.12/31,207.97 = 6,014.71/x
  3. Step 3: Cross multiply
    20,806.12x = 31,207.97 × 6,014.71
  4. Step 4: Simplify right side
    20,806.12x = 187,706,859.17
  5. Step 5: Solve for x
    x = 187,706,859.17/20,806.12
  6. Step 6: Final answer
    x = 9,021.71

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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.