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Finding the Fourth Proportional to 12,253.70, 18,388.11 and 5,678.66

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Solution

The fourth proportional to 12,253.70, 18,388.11 and 5,678.66 is: 8,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.70 : 18,388.11 = 5,678.66 : x
  2. Step 2: Convert to fraction form
    12,253.70/18,388.11 = 5,678.66/x
  3. Step 3: Cross multiply
    12,253.70x = 18,388.11 × 5,678.66
  4. Step 4: Simplify right side
    12,253.70x = 104,419,824.73
  5. Step 5: Solve for x
    x = 104,419,824.73/12,253.70
  6. Step 6: Final answer
    x = 8,521.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.