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Finding the Fourth Proportional to 22,186.68, 33,277.74 and 7,394

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Solution

The fourth proportional to 22,186.68, 33,277.74 and 7,394 is: 11,090.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186.68 : 33,277.74 = 7,394 : x
  2. Step 2: Convert to fraction form
    22,186.68/33,277.74 = 7,394/x
  3. Step 3: Cross multiply
    22,186.68x = 33,277.74 × 7,394
  4. Step 4: Simplify right side
    22,186.68x = 246,055,609.56
  5. Step 5: Solve for x
    x = 246,055,609.56/22,186.68
  6. Step 6: Final answer
    x = 11,090.24

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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.