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Finding the Fourth Proportional to 16,278.39, 22,464.18 and 8,826.39

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Solution

The fourth proportional to 16,278.39, 22,464.18 and 8,826.39 is: 12,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.39 : 22,464.18 = 8,826.39 : x
  2. Step 2: Convert to fraction form
    16,278.39/22,464.18 = 8,826.39/x
  3. Step 3: Cross multiply
    16,278.39x = 22,464.18 × 8,826.39
  4. Step 4: Simplify right side
    16,278.39x = 198,277,613.71
  5. Step 5: Solve for x
    x = 198,277,613.71/16,278.39
  6. Step 6: Final answer
    x = 12,180.42

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Why These Related Problems?

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