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Finding the Fourth Proportional to 24,754.76, 34,161.74 and 13,424.31

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Solution

The fourth proportional to 24,754.76, 34,161.74 and 13,424.31 is: 18,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,754.76 : 34,161.74 = 13,424.31 : x
  2. Step 2: Convert to fraction form
    24,754.76/34,161.74 = 13,424.31/x
  3. Step 3: Cross multiply
    24,754.76x = 34,161.74 × 13,424.31
  4. Step 4: Simplify right side
    24,754.76x = 458,597,720.78
  5. Step 5: Solve for x
    x = 458,597,720.78/24,754.76
  6. Step 6: Final answer
    x = 18,525.64

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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.