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Finding the Fourth Proportional to 22,613.44, 33,912.60 and 9,283

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Solution

The fourth proportional to 22,613.44, 33,912.60 and 9,283 is: 13,921.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.44 : 33,912.60 = 9,283 : x
  2. Step 2: Convert to fraction form
    22,613.44/33,912.60 = 9,283/x
  3. Step 3: Cross multiply
    22,613.44x = 33,912.60 × 9,283
  4. Step 4: Simplify right side
    22,613.44x = 314,810,665.80
  5. Step 5: Solve for x
    x = 314,810,665.80/22,613.44
  6. Step 6: Final answer
    x = 13,921.40

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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.