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Finding the Fourth Proportional to 16,550.65, 22,840.04 and 8,997

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Solution

The fourth proportional to 16,550.65, 22,840.04 and 8,997 is: 12,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550.65 : 22,840.04 = 8,997 : x
  2. Step 2: Convert to fraction form
    16,550.65/22,840.04 = 8,997/x
  3. Step 3: Cross multiply
    16,550.65x = 22,840.04 × 8,997
  4. Step 4: Simplify right side
    16,550.65x = 205,491,839.88
  5. Step 5: Solve for x
    x = 205,491,839.88/16,550.65
  6. Step 6: Final answer
    x = 12,415.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.