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Finding the Fourth Proportional to 13,189.18, 18,200.12 and 7,524.16

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Solution

The fourth proportional to 13,189.18, 18,200.12 and 7,524.16 is: 10,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.18 : 18,200.12 = 7,524.16 : x
  2. Step 2: Convert to fraction form
    13,189.18/18,200.12 = 7,524.16/x
  3. Step 3: Cross multiply
    13,189.18x = 18,200.12 × 7,524.16
  4. Step 4: Simplify right side
    13,189.18x = 136,940,614.90
  5. Step 5: Solve for x
    x = 136,940,614.90/13,189.18
  6. Step 6: Final answer
    x = 10,382.80

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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.