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Finding the Fourth Proportional to 13,722.50, 18,937.38 and 8,414.24

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Solution

The fourth proportional to 13,722.50, 18,937.38 and 8,414.24 is: 11,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.50 : 18,937.38 = 8,414.24 : x
  2. Step 2: Convert to fraction form
    13,722.50/18,937.38 = 8,414.24/x
  3. Step 3: Cross multiply
    13,722.50x = 18,937.38 × 8,414.24
  4. Step 4: Simplify right side
    13,722.50x = 159,343,660.29
  5. Step 5: Solve for x
    x = 159,343,660.29/13,722.50
  6. Step 6: Final answer
    x = 11,611.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.