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Finding the Fourth Proportional to 22,344.05, 30,826.21 and 12,782

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Solution

The fourth proportional to 22,344.05, 30,826.21 and 12,782 is: 17,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,344.05 : 30,826.21 = 12,782 : x
  2. Step 2: Convert to fraction form
    22,344.05/30,826.21 = 12,782/x
  3. Step 3: Cross multiply
    22,344.05x = 30,826.21 × 12,782
  4. Step 4: Simplify right side
    22,344.05x = 394,020,616.22
  5. Step 5: Solve for x
    x = 394,020,616.22/22,344.05
  6. Step 6: Final answer
    x = 17,634.25

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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.