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Finding the Fourth Proportional to 22,678, 34,017 and 8,827

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Solution

The fourth proportional to 22,678, 34,017 and 8,827 is: 13,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678 : 34,017 = 8,827 : x
  2. Step 2: Convert to fraction form
    22,678/34,017 = 8,827/x
  3. Step 3: Cross multiply
    22,678x = 34,017 × 8,827
  4. Step 4: Simplify right side
    22,678x = 300,268,059
  5. Step 5: Solve for x
    x = 300,268,059/22,678
  6. Step 6: Final answer
    x = 13,240.50

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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.