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Finding the Fourth Proportional to 20,862.92, 31,299.50 and 6,071.97

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Solution

The fourth proportional to 20,862.92, 31,299.50 and 6,071.97 is: 9,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862.92 : 31,299.50 = 6,071.97 : x
  2. Step 2: Convert to fraction form
    20,862.92/31,299.50 = 6,071.97/x
  3. Step 3: Cross multiply
    20,862.92x = 31,299.50 × 6,071.97
  4. Step 4: Simplify right side
    20,862.92x = 190,049,625.02
  5. Step 5: Solve for x
    x = 190,049,625.02/20,862.92
  6. Step 6: Final answer
    x = 9,109.45

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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.