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Finding the Fourth Proportional to 23,001.84, 34,489.80 and 8,002.08

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Solution

The fourth proportional to 23,001.84, 34,489.80 and 8,002.08 is: 11,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,001.84 : 34,489.80 = 8,002.08 : x
  2. Step 2: Convert to fraction form
    23,001.84/34,489.80 = 8,002.08/x
  3. Step 3: Cross multiply
    23,001.84x = 34,489.80 × 8,002.08
  4. Step 4: Simplify right side
    23,001.84x = 275,990,138.78
  5. Step 5: Solve for x
    x = 275,990,138.78/23,001.84
  6. Step 6: Final answer
    x = 11,998.61

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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.