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Finding the Fourth Proportional to 22,123.68, 30,520.56 and 13,166.16

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Solution

The fourth proportional to 22,123.68, 30,520.56 and 13,166.16 is: 18,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,123.68 : 30,520.56 = 13,166.16 : x
  2. Step 2: Convert to fraction form
    22,123.68/30,520.56 = 13,166.16/x
  3. Step 3: Cross multiply
    22,123.68x = 30,520.56 × 13,166.16
  4. Step 4: Simplify right side
    22,123.68x = 401,838,576.25
  5. Step 5: Solve for x
    x = 401,838,576.25/22,123.68
  6. Step 6: Final answer
    x = 18,163.28

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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.