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Finding the Fourth Proportional to 13,138.14, 18,123.87 and 8,889.39

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Solution

The fourth proportional to 13,138.14, 18,123.87 and 8,889.39 is: 12,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.14 : 18,123.87 = 8,889.39 : x
  2. Step 2: Convert to fraction form
    13,138.14/18,123.87 = 8,889.39/x
  3. Step 3: Cross multiply
    13,138.14x = 18,123.87 × 8,889.39
  4. Step 4: Simplify right side
    13,138.14x = 161,110,148.74
  5. Step 5: Solve for x
    x = 161,110,148.74/13,138.14
  6. Step 6: Final answer
    x = 12,262.78

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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.