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Finding the Fourth Proportional to 17,182.12, 25,782.72 and 9,284.44

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Solution

The fourth proportional to 17,182.12, 25,782.72 and 9,284.44 is: 13,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.12 : 25,782.72 = 9,284.44 : x
  2. Step 2: Convert to fraction form
    17,182.12/25,782.72 = 9,284.44/x
  3. Step 3: Cross multiply
    17,182.12x = 25,782.72 × 9,284.44
  4. Step 4: Simplify right side
    17,182.12x = 239,378,116.88
  5. Step 5: Solve for x
    x = 239,378,116.88/17,182.12
  6. Step 6: Final answer
    x = 13,931.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.