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Finding the Fourth Proportional to 23,808.84, 35,715.63 and 8,819.97

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Solution

The fourth proportional to 23,808.84, 35,715.63 and 8,819.97 is: 13,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808.84 : 35,715.63 = 8,819.97 : x
  2. Step 2: Convert to fraction form
    23,808.84/35,715.63 = 8,819.97/x
  3. Step 3: Cross multiply
    23,808.84x = 35,715.63 × 8,819.97
  4. Step 4: Simplify right side
    23,808.84x = 315,010,785.13
  5. Step 5: Solve for x
    x = 315,010,785.13/23,808.84
  6. Step 6: Final answer
    x = 13,230.83

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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.