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Finding the Fourth Proportional to 16,046.35, 22,144.93 and 8,972.82

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Solution

The fourth proportional to 16,046.35, 22,144.93 and 8,972.82 is: 12,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.35 : 22,144.93 = 8,972.82 : x
  2. Step 2: Convert to fraction form
    16,046.35/22,144.93 = 8,972.82/x
  3. Step 3: Cross multiply
    16,046.35x = 22,144.93 × 8,972.82
  4. Step 4: Simplify right side
    16,046.35x = 198,702,448.37
  5. Step 5: Solve for x
    x = 198,702,448.37/16,046.35
  6. Step 6: Final answer
    x = 12,383.03

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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.