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Finding the Fourth Proportional to 15,442.16, 23,163.24 and 6,206

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Solution

The fourth proportional to 15,442.16, 23,163.24 and 6,206 is: 9,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.16 : 23,163.24 = 6,206 : x
  2. Step 2: Convert to fraction form
    15,442.16/23,163.24 = 6,206/x
  3. Step 3: Cross multiply
    15,442.16x = 23,163.24 × 6,206
  4. Step 4: Simplify right side
    15,442.16x = 143,751,067.44
  5. Step 5: Solve for x
    x = 143,751,067.44/15,442.16
  6. Step 6: Final answer
    x = 9,309

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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.