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Finding the Fourth Proportional to 22,513, 33,771.18 and 8,662

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Solution

The fourth proportional to 22,513, 33,771.18 and 8,662 is: 12,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513 : 33,771.18 = 8,662 : x
  2. Step 2: Convert to fraction form
    22,513/33,771.18 = 8,662/x
  3. Step 3: Cross multiply
    22,513x = 33,771.18 × 8,662
  4. Step 4: Simplify right side
    22,513x = 292,525,961.16
  5. Step 5: Solve for x
    x = 292,525,961.16/22,513
  6. Step 6: Final answer
    x = 12,993.65

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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.