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Finding the Fourth Proportional to 17,797.13, 24,559.63 and 9,839.42

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Solution

The fourth proportional to 17,797.13, 24,559.63 and 9,839.42 is: 13,578.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.13 : 24,559.63 = 9,839.42 : x
  2. Step 2: Convert to fraction form
    17,797.13/24,559.63 = 9,839.42/x
  3. Step 3: Cross multiply
    17,797.13x = 24,559.63 × 9,839.42
  4. Step 4: Simplify right side
    17,797.13x = 241,652,367.22
  5. Step 5: Solve for x
    x = 241,652,367.22/17,797.13
  6. Step 6: Final answer
    x = 13,578.17

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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.