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Finding the Fourth Proportional to 22,375.14, 33,562.17 and 9,218.40

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Solution

The fourth proportional to 22,375.14, 33,562.17 and 9,218.40 is: 13,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,375.14 : 33,562.17 = 9,218.40 : x
  2. Step 2: Convert to fraction form
    22,375.14/33,562.17 = 9,218.40/x
  3. Step 3: Cross multiply
    22,375.14x = 33,562.17 × 9,218.40
  4. Step 4: Simplify right side
    22,375.14x = 309,389,507.93
  5. Step 5: Solve for x
    x = 309,389,507.93/22,375.14
  6. Step 6: Final answer
    x = 13,827.38

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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.