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Finding the Fourth Proportional to 13,104.92, 18,083.88 and 7,439.78

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Solution

The fourth proportional to 13,104.92, 18,083.88 and 7,439.78 is: 10,266.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.92 : 18,083.88 = 7,439.78 : x
  2. Step 2: Convert to fraction form
    13,104.92/18,083.88 = 7,439.78/x
  3. Step 3: Cross multiply
    13,104.92x = 18,083.88 × 7,439.78
  4. Step 4: Simplify right side
    13,104.92x = 134,539,998.33
  5. Step 5: Solve for x
    x = 134,539,998.33/13,104.92
  6. Step 6: Final answer
    x = 10,266.38

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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.