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Finding the Fourth Proportional to 12,361.69, 18,542.35 and 3,001.78

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Solution

The fourth proportional to 12,361.69, 18,542.35 and 3,001.78 is: 4,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361.69 : 18,542.35 = 3,001.78 : x
  2. Step 2: Convert to fraction form
    12,361.69/18,542.35 = 3,001.78/x
  3. Step 3: Cross multiply
    12,361.69x = 18,542.35 × 3,001.78
  4. Step 4: Simplify right side
    12,361.69x = 55,660,082.31
  5. Step 5: Solve for x
    x = 55,660,082.31/12,361.69
  6. Step 6: Final answer
    x = 4,502.63

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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.