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Finding the Fourth Proportional to 15,899.92, 23,823.96 and 8,098

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Solution

The fourth proportional to 15,899.92, 23,823.96 and 8,098 is: 12,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.92 : 23,823.96 = 8,098 : x
  2. Step 2: Convert to fraction form
    15,899.92/23,823.96 = 8,098/x
  3. Step 3: Cross multiply
    15,899.92x = 23,823.96 × 8,098
  4. Step 4: Simplify right side
    15,899.92x = 192,926,428.08
  5. Step 5: Solve for x
    x = 192,926,428.08/15,899.92
  6. Step 6: Final answer
    x = 12,133.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.