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Finding the Fourth Proportional to 16,449, 22,699.98 and 8,997

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Solution

The fourth proportional to 16,449, 22,699.98 and 8,997 is: 12,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449 : 22,699.98 = 8,997 : x
  2. Step 2: Convert to fraction form
    16,449/22,699.98 = 8,997/x
  3. Step 3: Cross multiply
    16,449x = 22,699.98 × 8,997
  4. Step 4: Simplify right side
    16,449x = 204,231,720.06
  5. Step 5: Solve for x
    x = 204,231,720.06/16,449
  6. Step 6: Final answer
    x = 12,416.06

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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.