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Finding the Fourth Proportional to 13,197.32, 18,212.27 and 7,229.10

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Solution

The fourth proportional to 13,197.32, 18,212.27 and 7,229.10 is: 9,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.32 : 18,212.27 = 7,229.10 : x
  2. Step 2: Convert to fraction form
    13,197.32/18,212.27 = 7,229.10/x
  3. Step 3: Cross multiply
    13,197.32x = 18,212.27 × 7,229.10
  4. Step 4: Simplify right side
    13,197.32x = 131,658,321.06
  5. Step 5: Solve for x
    x = 131,658,321.06/13,197.32
  6. Step 6: Final answer
    x = 9,976.14

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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.