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Finding the Fourth Proportional to 13,981.50, 20,972.26 and 3,593.26

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Solution

The fourth proportional to 13,981.50, 20,972.26 and 3,593.26 is: 5,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.50 : 20,972.26 = 3,593.26 : x
  2. Step 2: Convert to fraction form
    13,981.50/20,972.26 = 3,593.26/x
  3. Step 3: Cross multiply
    13,981.50x = 20,972.26 × 3,593.26
  4. Step 4: Simplify right side
    13,981.50x = 75,358,782.97
  5. Step 5: Solve for x
    x = 75,358,782.97/13,981.50
  6. Step 6: Final answer
    x = 5,389.89

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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.