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Finding the Fourth Proportional to 13,892.50, 20,847.26 and 5,571.64

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Solution

The fourth proportional to 13,892.50, 20,847.26 and 5,571.64 is: 8,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.50 : 20,847.26 = 5,571.64 : x
  2. Step 2: Convert to fraction form
    13,892.50/20,847.26 = 5,571.64/x
  3. Step 3: Cross multiply
    13,892.50x = 20,847.26 × 5,571.64
  4. Step 4: Simplify right side
    13,892.50x = 116,153,427.71
  5. Step 5: Solve for x
    x = 116,153,427.71/13,892.50
  6. Step 6: Final answer
    x = 8,360.87

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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.