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Finding the Fourth Proportional to 22,265.76, 30,727.10 and 12,194.04

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Solution

The fourth proportional to 22,265.76, 30,727.10 and 12,194.04 is: 16,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.76 : 30,727.10 = 12,194.04 : x
  2. Step 2: Convert to fraction form
    22,265.76/30,727.10 = 12,194.04/x
  3. Step 3: Cross multiply
    22,265.76x = 30,727.10 × 12,194.04
  4. Step 4: Simplify right side
    22,265.76x = 374,687,486.48
  5. Step 5: Solve for x
    x = 374,687,486.48/22,265.76
  6. Step 6: Final answer
    x = 16,827.97

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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.