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Finding the Fourth Proportional to 12,209.67, 16,819.21 and 10,411.29

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Solution

The fourth proportional to 12,209.67, 16,819.21 and 10,411.29 is: 14,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.67 : 16,819.21 = 10,411.29 : x
  2. Step 2: Convert to fraction form
    12,209.67/16,819.21 = 10,411.29/x
  3. Step 3: Cross multiply
    12,209.67x = 16,819.21 × 10,411.29
  4. Step 4: Simplify right side
    12,209.67x = 175,109,672.88
  5. Step 5: Solve for x
    x = 175,109,672.88/12,209.67
  6. Step 6: Final answer
    x = 14,341.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.