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Finding the Fourth Proportional to 16,078.54, 24,120.66 and 6,217

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Solution

The fourth proportional to 16,078.54, 24,120.66 and 6,217 is: 9,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.54 : 24,120.66 = 6,217 : x
  2. Step 2: Convert to fraction form
    16,078.54/24,120.66 = 6,217/x
  3. Step 3: Cross multiply
    16,078.54x = 24,120.66 × 6,217
  4. Step 4: Simplify right side
    16,078.54x = 149,958,143.22
  5. Step 5: Solve for x
    x = 149,958,143.22/16,078.54
  6. Step 6: Final answer
    x = 9,326.60

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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.