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Finding the Fourth Proportional to 13,188.38, 18,200.03 and 9,834.17

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Solution

The fourth proportional to 13,188.38, 18,200.03 and 9,834.17 is: 13,571.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,188.38 : 18,200.03 = 9,834.17 : x
  2. Step 2: Convert to fraction form
    13,188.38/18,200.03 = 9,834.17/x
  3. Step 3: Cross multiply
    13,188.38x = 18,200.03 × 9,834.17
  4. Step 4: Simplify right side
    13,188.38x = 178,982,048.85
  5. Step 5: Solve for x
    x = 178,982,048.85/13,188.38
  6. Step 6: Final answer
    x = 13,571.20

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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.