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Finding the Fourth Proportional to 12,251.60, 16,889.10 and 9,559.79

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Solution

The fourth proportional to 12,251.60, 16,889.10 and 9,559.79 is: 13,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.60 : 16,889.10 = 9,559.79 : x
  2. Step 2: Convert to fraction form
    12,251.60/16,889.10 = 9,559.79/x
  3. Step 3: Cross multiply
    12,251.60x = 16,889.10 × 9,559.79
  4. Step 4: Simplify right side
    12,251.60x = 161,456,249.29
  5. Step 5: Solve for x
    x = 161,456,249.29/12,251.60
  6. Step 6: Final answer
    x = 13,178.38

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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.