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Finding the Fourth Proportional to 13,197.12, 18,212.24 and 7,229.36

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Solution

The fourth proportional to 13,197.12, 18,212.24 and 7,229.36 is: 9,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.12 : 18,212.24 = 7,229.36 : x
  2. Step 2: Convert to fraction form
    13,197.12/18,212.24 = 7,229.36/x
  3. Step 3: Cross multiply
    13,197.12x = 18,212.24 × 7,229.36
  4. Step 4: Simplify right side
    13,197.12x = 131,662,712.16
  5. Step 5: Solve for x
    x = 131,662,712.16/13,197.12
  6. Step 6: Final answer
    x = 9,976.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.