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Finding the Fourth Proportional to 22,274.82, 30,740.18 and 12,204.14

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Solution

The fourth proportional to 22,274.82, 30,740.18 and 12,204.14 is: 16,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274.82 : 30,740.18 = 12,204.14 : x
  2. Step 2: Convert to fraction form
    22,274.82/30,740.18 = 12,204.14/x
  3. Step 3: Cross multiply
    22,274.82x = 30,740.18 × 12,204.14
  4. Step 4: Simplify right side
    22,274.82x = 375,157,245.62
  5. Step 5: Solve for x
    x = 375,157,245.62/22,274.82
  6. Step 6: Final answer
    x = 16,842.21

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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.