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Finding the Fourth Proportional to 22,078.08, 33,116.04 and 8,226

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Solution

The fourth proportional to 22,078.08, 33,116.04 and 8,226 is: 12,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,078.08 : 33,116.04 = 8,226 : x
  2. Step 2: Convert to fraction form
    22,078.08/33,116.04 = 8,226/x
  3. Step 3: Cross multiply
    22,078.08x = 33,116.04 × 8,226
  4. Step 4: Simplify right side
    22,078.08x = 272,412,545.04
  5. Step 5: Solve for x
    x = 272,412,545.04/22,078.08
  6. Step 6: Final answer
    x = 12,338.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.