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Finding the Fourth Proportional to 17,805.96, 24,571.08 and 9,847.98

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Solution

The fourth proportional to 17,805.96, 24,571.08 and 9,847.98 is: 13,589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.96 : 24,571.08 = 9,847.98 : x
  2. Step 2: Convert to fraction form
    17,805.96/24,571.08 = 9,847.98/x
  3. Step 3: Cross multiply
    17,805.96x = 24,571.08 × 9,847.98
  4. Step 4: Simplify right side
    17,805.96x = 241,975,504.42
  5. Step 5: Solve for x
    x = 241,975,504.42/17,805.96
  6. Step 6: Final answer
    x = 13,589.58

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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.