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Finding the Fourth Proportional to 22,503, 33,756.18 and 8,652

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Solution

The fourth proportional to 22,503, 33,756.18 and 8,652 is: 12,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,503 : 33,756.18 = 8,652 : x
  2. Step 2: Convert to fraction form
    22,503/33,756.18 = 8,652/x
  3. Step 3: Cross multiply
    22,503x = 33,756.18 × 8,652
  4. Step 4: Simplify right side
    22,503x = 292,058,469.36
  5. Step 5: Solve for x
    x = 292,058,469.36/22,503
  6. Step 6: Final answer
    x = 12,978.65

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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.