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Finding the Fourth Proportional to 13,197.31, 18,212.29 and 7,229.07

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Solution

The fourth proportional to 13,197.31, 18,212.29 and 7,229.07 is: 9,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.31 : 18,212.29 = 7,229.07 : x
  2. Step 2: Convert to fraction form
    13,197.31/18,212.29 = 7,229.07/x
  3. Step 3: Cross multiply
    13,197.31x = 18,212.29 × 7,229.07
  4. Step 4: Simplify right side
    13,197.31x = 131,657,883.12
  5. Step 5: Solve for x
    x = 131,657,883.12/13,197.31
  6. Step 6: Final answer
    x = 9,976.12

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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.