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Finding the Fourth Proportional to 17,704.64, 24,422.28 and 11,069.12

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Solution

The fourth proportional to 17,704.64, 24,422.28 and 11,069.12 is: 15,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.64 : 24,422.28 = 11,069.12 : x
  2. Step 2: Convert to fraction form
    17,704.64/24,422.28 = 11,069.12/x
  3. Step 3: Cross multiply
    17,704.64x = 24,422.28 × 11,069.12
  4. Step 4: Simplify right side
    17,704.64x = 270,333,147.99
  5. Step 5: Solve for x
    x = 270,333,147.99/17,704.64
  6. Step 6: Final answer
    x = 15,269.06

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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.