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Finding the Fourth Proportional to 22,841.14, 31,496.53 and 17,796.42

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Solution

The fourth proportional to 22,841.14, 31,496.53 and 17,796.42 is: 24,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.14 : 31,496.53 = 17,796.42 : x
  2. Step 2: Convert to fraction form
    22,841.14/31,496.53 = 17,796.42/x
  3. Step 3: Cross multiply
    22,841.14x = 31,496.53 × 17,796.42
  4. Step 4: Simplify right side
    22,841.14x = 560,525,476.42
  5. Step 5: Solve for x
    x = 560,525,476.42/22,841.14
  6. Step 6: Final answer
    x = 24,540.17

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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.