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Finding the Fourth Proportional to 22,842.14, 31,497.91 and 17,797.42

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Solution

The fourth proportional to 22,842.14, 31,497.91 and 17,797.42 is: 24,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.14 : 31,497.91 = 17,797.42 : x
  2. Step 2: Convert to fraction form
    22,842.14/31,497.91 = 17,797.42/x
  3. Step 3: Cross multiply
    22,842.14x = 31,497.91 × 17,797.42
  4. Step 4: Simplify right side
    22,842.14x = 560,581,533.39
  5. Step 5: Solve for x
    x = 560,581,533.39/22,842.14
  6. Step 6: Final answer
    x = 24,541.55

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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.