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Finding the Fourth Proportional to 22,682.36, 34,039 and 7,891.24

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Solution

The fourth proportional to 22,682.36, 34,039 and 7,891.24 is: 11,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.36 : 34,039 = 7,891.24 : x
  2. Step 2: Convert to fraction form
    22,682.36/34,039 = 7,891.24/x
  3. Step 3: Cross multiply
    22,682.36x = 34,039 × 7,891.24
  4. Step 4: Simplify right side
    22,682.36x = 268,609,918.36
  5. Step 5: Solve for x
    x = 268,609,918.36/22,682.36
  6. Step 6: Final answer
    x = 11,842.24

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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.