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Finding the Fourth Proportional to 13,643.50, 20,465.26 and 5,441.26

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Solution

The fourth proportional to 13,643.50, 20,465.26 and 5,441.26 is: 8,161.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.50 : 20,465.26 = 5,441.26 : x
  2. Step 2: Convert to fraction form
    13,643.50/20,465.26 = 5,441.26/x
  3. Step 3: Cross multiply
    13,643.50x = 20,465.26 × 5,441.26
  4. Step 4: Simplify right side
    13,643.50x = 111,356,800.63
  5. Step 5: Solve for x
    x = 111,356,800.63/13,643.50
  6. Step 6: Final answer
    x = 8,161.89

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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.