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Finding the Fourth Proportional to 16,550.24, 22,839.72 and 8,997

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Solution

The fourth proportional to 16,550.24, 22,839.72 and 8,997 is: 12,416.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,550.24 : 22,839.72 = 8,997 : x
  2. Step 2: Convert to fraction form
    16,550.24/22,839.72 = 8,997/x
  3. Step 3: Cross multiply
    16,550.24x = 22,839.72 × 8,997
  4. Step 4: Simplify right side
    16,550.24x = 205,488,960.84
  5. Step 5: Solve for x
    x = 205,488,960.84/16,550.24
  6. Step 6: Final answer
    x = 12,416.07

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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.