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Finding the Fourth Proportional to 13,981.50, 20,972.28 and 3,593.28

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Solution

The fourth proportional to 13,981.50, 20,972.28 and 3,593.28 is: 5,389.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,981.50 : 20,972.28 = 3,593.28 : x
  2. Step 2: Convert to fraction form
    13,981.50/20,972.28 = 3,593.28/x
  3. Step 3: Cross multiply
    13,981.50x = 20,972.28 × 3,593.28
  4. Step 4: Simplify right side
    13,981.50x = 75,359,274.28
  5. Step 5: Solve for x
    x = 75,359,274.28/13,981.50
  6. Step 6: Final answer
    x = 5,389.93

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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.