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Finding the Fourth Proportional to 16,249.30, 22,414.68 and 9,784.44

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Solution

The fourth proportional to 16,249.30, 22,414.68 and 9,784.44 is: 13,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.30 : 22,414.68 = 9,784.44 : x
  2. Step 2: Convert to fraction form
    16,249.30/22,414.68 = 9,784.44/x
  3. Step 3: Cross multiply
    16,249.30x = 22,414.68 × 9,784.44
  4. Step 4: Simplify right side
    16,249.30x = 219,315,091.58
  5. Step 5: Solve for x
    x = 219,315,091.58/16,249.30
  6. Step 6: Final answer
    x = 13,496.89

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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.