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Finding the Fourth Proportional to 13,822.23, 19,073.67 and 8,517.14

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Solution

The fourth proportional to 13,822.23, 19,073.67 and 8,517.14 is: 11,753.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.23 : 19,073.67 = 8,517.14 : x
  2. Step 2: Convert to fraction form
    13,822.23/19,073.67 = 8,517.14/x
  3. Step 3: Cross multiply
    13,822.23x = 19,073.67 × 8,517.14
  4. Step 4: Simplify right side
    13,822.23x = 162,453,022.34
  5. Step 5: Solve for x
    x = 162,453,022.34/13,822.23
  6. Step 6: Final answer
    x = 11,753.03

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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.