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Finding the Fourth Proportional to 10,906.20, 16,275.44 and 10,843.84

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Solution

The fourth proportional to 10,906.20, 16,275.44 and 10,843.84 is: 16,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.20 : 16,275.44 = 10,843.84 : x
  2. Step 2: Convert to fraction form
    10,906.20/16,275.44 = 10,843.84/x
  3. Step 3: Cross multiply
    10,906.20x = 16,275.44 × 10,843.84
  4. Step 4: Simplify right side
    10,906.20x = 176,488,267.29
  5. Step 5: Solve for x
    x = 176,488,267.29/10,906.20
  6. Step 6: Final answer
    x = 16,182.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.