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Finding the Fourth Proportional to 23,998.75, 36,001.16 and 8,206.81

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Solution

The fourth proportional to 23,998.75, 36,001.16 and 8,206.81 is: 12,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,998.75 : 36,001.16 = 8,206.81 : x
  2. Step 2: Convert to fraction form
    23,998.75/36,001.16 = 8,206.81/x
  3. Step 3: Cross multiply
    23,998.75x = 36,001.16 × 8,206.81
  4. Step 4: Simplify right side
    23,998.75x = 295,454,679.90
  5. Step 5: Solve for x
    x = 295,454,679.90/23,998.75
  6. Step 6: Final answer
    x = 12,311.25

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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.