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Finding the Fourth Proportional to 13,104.38, 18,083.49 and 7,439.02

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Solution

The fourth proportional to 13,104.38, 18,083.49 and 7,439.02 is: 10,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.38 : 18,083.49 = 7,439.02 : x
  2. Step 2: Convert to fraction form
    13,104.38/18,083.49 = 7,439.02/x
  3. Step 3: Cross multiply
    13,104.38x = 18,083.49 × 7,439.02
  4. Step 4: Simplify right side
    13,104.38x = 134,523,406.58
  5. Step 5: Solve for x
    x = 134,523,406.58/13,104.38
  6. Step 6: Final answer
    x = 10,265.53

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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.