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Finding the Fourth Proportional to 22,778.82, 31,424.49 and 13,343.40

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Solution

The fourth proportional to 22,778.82, 31,424.49 and 13,343.40 is: 18,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.82 : 31,424.49 = 13,343.40 : x
  2. Step 2: Convert to fraction form
    22,778.82/31,424.49 = 13,343.40/x
  3. Step 3: Cross multiply
    22,778.82x = 31,424.49 × 13,343.40
  4. Step 4: Simplify right side
    22,778.82x = 419,309,539.87
  5. Step 5: Solve for x
    x = 419,309,539.87/22,778.82
  6. Step 6: Final answer
    x = 18,407.87

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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.