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Finding the Fourth Proportional to 22,769.28, 31,422.24 and 13,338.24

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Solution

The fourth proportional to 22,769.28, 31,422.24 and 13,338.24 is: 18,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,769.28 : 31,422.24 = 13,338.24 : x
  2. Step 2: Convert to fraction form
    22,769.28/31,422.24 = 13,338.24/x
  3. Step 3: Cross multiply
    22,769.28x = 31,422.24 × 13,338.24
  4. Step 4: Simplify right side
    22,769.28x = 419,117,378.46
  5. Step 5: Solve for x
    x = 419,117,378.46/22,769.28
  6. Step 6: Final answer
    x = 18,407.14

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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.