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Finding the Fourth Proportional to 13,441.70, 20,164.98 and 5,539.82

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Solution

The fourth proportional to 13,441.70, 20,164.98 and 5,539.82 is: 8,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.70 : 20,164.98 = 5,539.82 : x
  2. Step 2: Convert to fraction form
    13,441.70/20,164.98 = 5,539.82/x
  3. Step 3: Cross multiply
    13,441.70x = 20,164.98 × 5,539.82
  4. Step 4: Simplify right side
    13,441.70x = 111,710,359.50
  5. Step 5: Solve for x
    x = 111,710,359.50/13,441.70
  6. Step 6: Final answer
    x = 8,310.73

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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.