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Finding the Fourth Proportional to 17,805.60, 24,571.44 and 9,847.80

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Solution

The fourth proportional to 17,805.60, 24,571.44 and 9,847.80 is: 13,589.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.60 : 24,571.44 = 9,847.80 : x
  2. Step 2: Convert to fraction form
    17,805.60/24,571.44 = 9,847.80/x
  3. Step 3: Cross multiply
    17,805.60x = 24,571.44 × 9,847.80
  4. Step 4: Simplify right side
    17,805.60x = 241,974,626.83
  5. Step 5: Solve for x
    x = 241,974,626.83/17,805.60
  6. Step 6: Final answer
    x = 13,589.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.