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Finding the Fourth Proportional to 17,980.85, 24,797.42 and 11,267.20

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Solution

The fourth proportional to 17,980.85, 24,797.42 and 11,267.20 is: 15,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,980.85 : 24,797.42 = 11,267.20 : x
  2. Step 2: Convert to fraction form
    17,980.85/24,797.42 = 11,267.20/x
  3. Step 3: Cross multiply
    17,980.85x = 24,797.42 × 11,267.20
  4. Step 4: Simplify right side
    17,980.85x = 279,397,310.30
  5. Step 5: Solve for x
    x = 279,397,310.30/17,980.85
  6. Step 6: Final answer
    x = 15,538.60

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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.