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Finding the Fourth Proportional to 13,422.50, 20,118.55 and 6,834.77

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Solution

The fourth proportional to 13,422.50, 20,118.55 and 6,834.77 is: 10,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.50 : 20,118.55 = 6,834.77 : x
  2. Step 2: Convert to fraction form
    13,422.50/20,118.55 = 6,834.77/x
  3. Step 3: Cross multiply
    13,422.50x = 20,118.55 × 6,834.77
  4. Step 4: Simplify right side
    13,422.50x = 137,505,661.98
  5. Step 5: Solve for x
    x = 137,505,661.98/13,422.50
  6. Step 6: Final answer
    x = 10,244.42

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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.