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Finding the Fourth Proportional to 13,244.72, 19,850.67 and 6,220.80

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Solution

The fourth proportional to 13,244.72, 19,850.67 and 6,220.80 is: 9,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,244.72 : 19,850.67 = 6,220.80 : x
  2. Step 2: Convert to fraction form
    13,244.72/19,850.67 = 6,220.80/x
  3. Step 3: Cross multiply
    13,244.72x = 19,850.67 × 6,220.80
  4. Step 4: Simplify right side
    13,244.72x = 123,487,047.94
  5. Step 5: Solve for x
    x = 123,487,047.94/13,244.72
  6. Step 6: Final answer
    x = 9,323.50

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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.