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Finding the Fourth Proportional to 14,896.89, 22,338.12 and 8,658.71

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Solution

The fourth proportional to 14,896.89, 22,338.12 and 8,658.71 is: 12,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.89 : 22,338.12 = 8,658.71 : x
  2. Step 2: Convert to fraction form
    14,896.89/22,338.12 = 8,658.71/x
  3. Step 3: Cross multiply
    14,896.89x = 22,338.12 × 8,658.71
  4. Step 4: Simplify right side
    14,896.89x = 193,419,191.33
  5. Step 5: Solve for x
    x = 193,419,191.33/14,896.89
  6. Step 6: Final answer
    x = 12,983.86

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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.