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Finding the Fourth Proportional to 16,983.86, 25,464.16 and 8,647.74

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Solution

The fourth proportional to 16,983.86, 25,464.16 and 8,647.74 is: 12,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.86 : 25,464.16 = 8,647.74 : x
  2. Step 2: Convert to fraction form
    16,983.86/25,464.16 = 8,647.74/x
  3. Step 3: Cross multiply
    16,983.86x = 25,464.16 × 8,647.74
  4. Step 4: Simplify right side
    16,983.86x = 220,207,435.00
  5. Step 5: Solve for x
    x = 220,207,435.00/16,983.86
  6. Step 6: Final answer
    x = 12,965.69

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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.