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Finding the Fourth Proportional to 13,377.69, 18,463.32 and 8,073.27

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Solution

The fourth proportional to 13,377.69, 18,463.32 and 8,073.27 is: 11,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377.69 : 18,463.32 = 8,073.27 : x
  2. Step 2: Convert to fraction form
    13,377.69/18,463.32 = 8,073.27/x
  3. Step 3: Cross multiply
    13,377.69x = 18,463.32 × 8,073.27
  4. Step 4: Simplify right side
    13,377.69x = 149,059,367.46
  5. Step 5: Solve for x
    x = 149,059,367.46/13,377.69
  6. Step 6: Final answer
    x = 11,142.38

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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.