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Finding the Fourth Proportional to 13,197.17, 18,211.14 and 7,227.87

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Solution

The fourth proportional to 13,197.17, 18,211.14 and 7,227.87 is: 9,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.17 : 18,211.14 = 7,227.87 : x
  2. Step 2: Convert to fraction form
    13,197.17/18,211.14 = 7,227.87/x
  3. Step 3: Cross multiply
    13,197.17x = 18,211.14 × 7,227.87
  4. Step 4: Simplify right side
    13,197.17x = 131,627,752.47
  5. Step 5: Solve for x
    x = 131,627,752.47/13,197.17
  6. Step 6: Final answer
    x = 9,973.94

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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.