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Finding the Fourth Proportional to 22,531.28, 33,799.21 and 7,738.27

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Solution

The fourth proportional to 22,531.28, 33,799.21 and 7,738.27 is: 11,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.28 : 33,799.21 = 7,738.27 : x
  2. Step 2: Convert to fraction form
    22,531.28/33,799.21 = 7,738.27/x
  3. Step 3: Cross multiply
    22,531.28x = 33,799.21 × 7,738.27
  4. Step 4: Simplify right side
    22,531.28x = 261,547,412.77
  5. Step 5: Solve for x
    x = 261,547,412.77/22,531.28
  6. Step 6: Final answer
    x = 11,608.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.