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Finding the Fourth Proportional to 13,197.47, 18,212.52 and 7,229.17

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Solution

The fourth proportional to 13,197.47, 18,212.52 and 7,229.17 is: 9,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.47 : 18,212.52 = 7,229.17 : x
  2. Step 2: Convert to fraction form
    13,197.47/18,212.52 = 7,229.17/x
  3. Step 3: Cross multiply
    13,197.47x = 18,212.52 × 7,229.17
  4. Step 4: Simplify right side
    13,197.47x = 131,661,312.15
  5. Step 5: Solve for x
    x = 131,661,312.15/13,197.47
  6. Step 6: Final answer
    x = 9,976.25

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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.