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Finding the Fourth Proportional to 22,121.76, 30,521.54 and 13,164.78

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Solution

The fourth proportional to 22,121.76, 30,521.54 and 13,164.78 is: 18,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,121.76 : 30,521.54 = 13,164.78 : x
  2. Step 2: Convert to fraction form
    22,121.76/30,521.54 = 13,164.78/x
  3. Step 3: Cross multiply
    22,121.76x = 30,521.54 × 13,164.78
  4. Step 4: Simplify right side
    22,121.76x = 401,809,359.36
  5. Step 5: Solve for x
    x = 401,809,359.36/22,121.76
  6. Step 6: Final answer
    x = 18,163.53

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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.