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Finding the Fourth Proportional to 13,475.96, 20,216.09 and 3,989.24

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Solution

The fourth proportional to 13,475.96, 20,216.09 and 3,989.24 is: 5,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.96 : 20,216.09 = 3,989.24 : x
  2. Step 2: Convert to fraction form
    13,475.96/20,216.09 = 3,989.24/x
  3. Step 3: Cross multiply
    13,475.96x = 20,216.09 × 3,989.24
  4. Step 4: Simplify right side
    13,475.96x = 80,646,834.87
  5. Step 5: Solve for x
    x = 80,646,834.87/13,475.96
  6. Step 6: Final answer
    x = 5,984.50

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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.