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Finding the Fourth Proportional to 24,371.31, 33,632.42 and 13,761.63

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Solution

The fourth proportional to 24,371.31, 33,632.42 and 13,761.63 is: 18,991.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,371.31 : 33,632.42 = 13,761.63 : x
  2. Step 2: Convert to fraction form
    24,371.31/33,632.42 = 13,761.63/x
  3. Step 3: Cross multiply
    24,371.31x = 33,632.42 × 13,761.63
  4. Step 4: Simplify right side
    24,371.31x = 462,836,851.24
  5. Step 5: Solve for x
    x = 462,836,851.24/24,371.31
  6. Step 6: Final answer
    x = 18,991.05

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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.