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Finding the Fourth Proportional to 22,184.92, 33,084.95 and 18,919

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Solution

The fourth proportional to 22,184.92, 33,084.95 and 18,919 is: 28,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,184.92 : 33,084.95 = 18,919 : x
  2. Step 2: Convert to fraction form
    22,184.92/33,084.95 = 18,919/x
  3. Step 3: Cross multiply
    22,184.92x = 33,084.95 × 18,919
  4. Step 4: Simplify right side
    22,184.92x = 625,934,169.05
  5. Step 5: Solve for x
    x = 625,934,169.05/22,184.92
  6. Step 6: Final answer
    x = 28,214.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.