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Finding the Fourth Proportional to 13,201.22, 18,217.67 and 7,897.28

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Solution

The fourth proportional to 13,201.22, 18,217.67 and 7,897.28 is: 10,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.22 : 18,217.67 = 7,897.28 : x
  2. Step 2: Convert to fraction form
    13,201.22/18,217.67 = 7,897.28/x
  3. Step 3: Cross multiply
    13,201.22x = 18,217.67 × 7,897.28
  4. Step 4: Simplify right side
    13,201.22x = 143,870,015.14
  5. Step 5: Solve for x
    x = 143,870,015.14/13,201.22
  6. Step 6: Final answer
    x = 10,898.24

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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.