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Finding the Fourth Proportional to 22,277.57, 30,741.71 and 12,204

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Solution

The fourth proportional to 22,277.57, 30,741.71 and 12,204 is: 16,840.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.57 : 30,741.71 = 12,204 : x
  2. Step 2: Convert to fraction form
    22,277.57/30,741.71 = 12,204/x
  3. Step 3: Cross multiply
    22,277.57x = 30,741.71 × 12,204
  4. Step 4: Simplify right side
    22,277.57x = 375,171,767.82
  5. Step 5: Solve for x
    x = 375,171,767.82/22,277.57
  6. Step 6: Final answer
    x = 16,840.79

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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.