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Finding the Fourth Proportional to 26,667, 40,024.76 and 14,197.48

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Solution

The fourth proportional to 26,667, 40,024.76 and 14,197.48 is: 21,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,667 : 40,024.76 = 14,197.48 : x
  2. Step 2: Convert to fraction form
    26,667/40,024.76 = 14,197.48/x
  3. Step 3: Cross multiply
    26,667x = 40,024.76 × 14,197.48
  4. Step 4: Simplify right side
    26,667x = 568,250,729.60
  5. Step 5: Solve for x
    x = 568,250,729.60/26,667
  6. Step 6: Final answer
    x = 21,309.14

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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.