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Finding the Fourth Proportional to 22,249.72, 33,364.86 and 8,389

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Solution

The fourth proportional to 22,249.72, 33,364.86 and 8,389 is: 12,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,249.72 : 33,364.86 = 8,389 : x
  2. Step 2: Convert to fraction form
    22,249.72/33,364.86 = 8,389/x
  3. Step 3: Cross multiply
    22,249.72x = 33,364.86 × 8,389
  4. Step 4: Simplify right side
    22,249.72x = 279,897,810.54
  5. Step 5: Solve for x
    x = 279,897,810.54/22,249.72
  6. Step 6: Final answer
    x = 12,579.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.