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Finding the Fourth Proportional to 22,266.30, 30,727.84 and 12,194.56

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Solution

The fourth proportional to 22,266.30, 30,727.84 and 12,194.56 is: 16,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266.30 : 30,727.84 = 12,194.56 : x
  2. Step 2: Convert to fraction form
    22,266.30/30,727.84 = 12,194.56/x
  3. Step 3: Cross multiply
    22,266.30x = 30,727.84 × 12,194.56
  4. Step 4: Simplify right side
    22,266.30x = 374,712,304.42
  5. Step 5: Solve for x
    x = 374,712,304.42/22,266.30
  6. Step 6: Final answer
    x = 16,828.68

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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.