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Finding the Fourth Proportional to 12,806.40, 19,166.40 and 11,251.20

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Solution

The fourth proportional to 12,806.40, 19,166.40 and 11,251.20 is: 16,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.40 : 19,166.40 = 11,251.20 : x
  2. Step 2: Convert to fraction form
    12,806.40/19,166.40 = 11,251.20/x
  3. Step 3: Cross multiply
    12,806.40x = 19,166.40 × 11,251.20
  4. Step 4: Simplify right side
    12,806.40x = 215,644,999.68
  5. Step 5: Solve for x
    x = 215,644,999.68/12,806.40
  6. Step 6: Final answer
    x = 16,838.85

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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.