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Finding the Fourth Proportional to 20,896.42, 31,335.38 and 9,794.14

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Solution

The fourth proportional to 20,896.42, 31,335.38 and 9,794.14 is: 14,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.42 : 31,335.38 = 9,794.14 : x
  2. Step 2: Convert to fraction form
    20,896.42/31,335.38 = 9,794.14/x
  3. Step 3: Cross multiply
    20,896.42x = 31,335.38 × 9,794.14
  4. Step 4: Simplify right side
    20,896.42x = 306,903,098.67
  5. Step 5: Solve for x
    x = 306,903,098.67/20,896.42
  6. Step 6: Final answer
    x = 14,686.87

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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.