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Finding the Fourth Proportional to 17,797.34, 24,559.11 and 9,839.49

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Solution

The fourth proportional to 17,797.34, 24,559.11 and 9,839.49 is: 13,577.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,797.34 : 24,559.11 = 9,839.49 : x
  2. Step 2: Convert to fraction form
    17,797.34/24,559.11 = 9,839.49/x
  3. Step 3: Cross multiply
    17,797.34x = 24,559.11 × 9,839.49
  4. Step 4: Simplify right side
    17,797.34x = 241,649,117.25
  5. Step 5: Solve for x
    x = 241,649,117.25/17,797.34
  6. Step 6: Final answer
    x = 13,577.82

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