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Finding the Fourth Proportional to 13,709.37, 20,560.86 and 3,849.60

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Solution

The fourth proportional to 13,709.37, 20,560.86 and 3,849.60 is: 5,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.37 : 20,560.86 = 3,849.60 : x
  2. Step 2: Convert to fraction form
    13,709.37/20,560.86 = 3,849.60/x
  3. Step 3: Cross multiply
    13,709.37x = 20,560.86 × 3,849.60
  4. Step 4: Simplify right side
    13,709.37x = 79,151,086.66
  5. Step 5: Solve for x
    x = 79,151,086.66/13,709.37
  6. Step 6: Final answer
    x = 5,773.50

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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.