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Finding the Fourth Proportional to 13,441, 20,161.50 and 3,713

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Solution

The fourth proportional to 13,441, 20,161.50 and 3,713 is: 5,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441 : 20,161.50 = 3,713 : x
  2. Step 2: Convert to fraction form
    13,441/20,161.50 = 3,713/x
  3. Step 3: Cross multiply
    13,441x = 20,161.50 × 3,713
  4. Step 4: Simplify right side
    13,441x = 74,859,649.50
  5. Step 5: Solve for x
    x = 74,859,649.50/13,441
  6. Step 6: Final answer
    x = 5,569.50

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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.