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Finding the Fourth Proportional to 20,896.96, 31,343.92 and 9,806.16

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Solution

The fourth proportional to 20,896.96, 31,343.92 and 9,806.16 is: 14,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.96 : 31,343.92 = 9,806.16 : x
  2. Step 2: Convert to fraction form
    20,896.96/31,343.92 = 9,806.16/x
  3. Step 3: Cross multiply
    20,896.96x = 31,343.92 × 9,806.16
  4. Step 4: Simplify right side
    20,896.96x = 307,363,494.55
  5. Step 5: Solve for x
    x = 307,363,494.55/20,896.96
  6. Step 6: Final answer
    x = 14,708.53

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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.