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Finding the Fourth Proportional to 24,257.54, 33,474.67 and 13,647.76

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Solution

The fourth proportional to 24,257.54, 33,474.67 and 13,647.76 is: 18,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.54 : 33,474.67 = 13,647.76 : x
  2. Step 2: Convert to fraction form
    24,257.54/33,474.67 = 13,647.76/x
  3. Step 3: Cross multiply
    24,257.54x = 33,474.67 × 13,647.76
  4. Step 4: Simplify right side
    24,257.54x = 456,854,144.43
  5. Step 5: Solve for x
    x = 456,854,144.43/24,257.54
  6. Step 6: Final answer
    x = 18,833.49

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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.