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Finding the Fourth Proportional to 13,907.85, 20,861.79 and 6,517.50

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Solution

The fourth proportional to 13,907.85, 20,861.79 and 6,517.50 is: 9,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.85 : 20,861.79 = 6,517.50 : x
  2. Step 2: Convert to fraction form
    13,907.85/20,861.79 = 6,517.50/x
  3. Step 3: Cross multiply
    13,907.85x = 20,861.79 × 6,517.50
  4. Step 4: Simplify right side
    13,907.85x = 135,966,716.33
  5. Step 5: Solve for x
    x = 135,966,716.33/13,907.85
  6. Step 6: Final answer
    x = 9,776.26

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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.