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Finding the Fourth Proportional to 16,249.33, 22,424.49 and 9,965.17

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Solution

The fourth proportional to 16,249.33, 22,424.49 and 9,965.17 is: 13,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.33 : 22,424.49 = 9,965.17 : x
  2. Step 2: Convert to fraction form
    16,249.33/22,424.49 = 9,965.17/x
  3. Step 3: Cross multiply
    16,249.33x = 22,424.49 × 9,965.17
  4. Step 4: Simplify right side
    16,249.33x = 223,463,805.19
  5. Step 5: Solve for x
    x = 223,463,805.19/16,249.33
  6. Step 6: Final answer
    x = 13,752.19

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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.