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Finding the Fourth Proportional to 16,257.78, 24,383.91 and 4,568.25

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Solution

The fourth proportional to 16,257.78, 24,383.91 and 4,568.25 is: 6,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.78 : 24,383.91 = 4,568.25 : x
  2. Step 2: Convert to fraction form
    16,257.78/24,383.91 = 4,568.25/x
  3. Step 3: Cross multiply
    16,257.78x = 24,383.91 × 4,568.25
  4. Step 4: Simplify right side
    16,257.78x = 111,391,796.86
  5. Step 5: Solve for x
    x = 111,391,796.86/16,257.78
  6. Step 6: Final answer
    x = 6,851.60

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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.