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Finding the Fourth Proportional to 13,196.31, 18,211.06 and 7,227.82

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Solution

The fourth proportional to 13,196.31, 18,211.06 and 7,227.82 is: 9,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.31 : 18,211.06 = 7,227.82 : x
  2. Step 2: Convert to fraction form
    13,196.31/18,211.06 = 7,227.82/x
  3. Step 3: Cross multiply
    13,196.31x = 18,211.06 × 7,227.82
  4. Step 4: Simplify right side
    13,196.31x = 131,626,263.69
  5. Step 5: Solve for x
    x = 131,626,263.69/13,196.31
  6. Step 6: Final answer
    x = 9,974.47

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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.