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Finding the Fourth Proportional to 23,422.54, 32,322.97 and 13,351.41

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Solution

The fourth proportional to 23,422.54, 32,322.97 and 13,351.41 is: 18,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.54 : 32,322.97 = 13,351.41 : x
  2. Step 2: Convert to fraction form
    23,422.54/32,322.97 = 13,351.41/x
  3. Step 3: Cross multiply
    23,422.54x = 32,322.97 × 13,351.41
  4. Step 4: Simplify right side
    23,422.54x = 431,557,224.89
  5. Step 5: Solve for x
    x = 431,557,224.89/23,422.54
  6. Step 6: Final answer
    x = 18,424.87

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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.