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Finding the Fourth Proportional to 17,797.32, 24,559.34 and 9,839.07

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Solution

The fourth proportional to 17,797.32, 24,559.34 and 9,839.07 is: 13,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.32 : 24,559.34 = 9,839.07 : x
  2. Step 2: Convert to fraction form
    17,797.32/24,559.34 = 9,839.07/x
  3. Step 3: Cross multiply
    17,797.32x = 24,559.34 × 9,839.07
  4. Step 4: Simplify right side
    17,797.32x = 241,641,016.22
  5. Step 5: Solve for x
    x = 241,641,016.22/17,797.32
  6. Step 6: Final answer
    x = 13,577.38

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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.