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Finding the Fourth Proportional to 17,906.50, 26,861.19 and 5,594.50

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Solution

The fourth proportional to 17,906.50, 26,861.19 and 5,594.50 is: 8,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,906.50 : 26,861.19 = 5,594.50 : x
  2. Step 2: Convert to fraction form
    17,906.50/26,861.19 = 5,594.50/x
  3. Step 3: Cross multiply
    17,906.50x = 26,861.19 × 5,594.50
  4. Step 4: Simplify right side
    17,906.50x = 150,274,927.46
  5. Step 5: Solve for x
    x = 150,274,927.46/17,906.50
  6. Step 6: Final answer
    x = 8,392.20

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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.