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Finding the Fourth Proportional to 22,338.24, 30,826.56 and 12,906.24

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Solution

The fourth proportional to 22,338.24, 30,826.56 and 12,906.24 is: 17,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.24 : 30,826.56 = 12,906.24 : x
  2. Step 2: Convert to fraction form
    22,338.24/30,826.56 = 12,906.24/x
  3. Step 3: Cross multiply
    22,338.24x = 30,826.56 × 12,906.24
  4. Step 4: Simplify right side
    22,338.24x = 397,854,981.73
  5. Step 5: Solve for x
    x = 397,854,981.73/22,338.24
  6. Step 6: Final answer
    x = 17,810.49

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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.