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Finding the Fourth Proportional to 23,212.80, 34,819.02 and 8,421.66

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Solution

The fourth proportional to 23,212.80, 34,819.02 and 8,421.66 is: 12,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.80 : 34,819.02 = 8,421.66 : x
  2. Step 2: Convert to fraction form
    23,212.80/34,819.02 = 8,421.66/x
  3. Step 3: Cross multiply
    23,212.80x = 34,819.02 × 8,421.66
  4. Step 4: Simplify right side
    23,212.80x = 293,233,947.97
  5. Step 5: Solve for x
    x = 293,233,947.97/23,212.80
  6. Step 6: Final answer
    x = 12,632.42

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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.