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Finding the Fourth Proportional to 15,216.88, 22,825.57 and 6,896.96

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Solution

The fourth proportional to 15,216.88, 22,825.57 and 6,896.96 is: 10,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216.88 : 22,825.57 = 6,896.96 : x
  2. Step 2: Convert to fraction form
    15,216.88/22,825.57 = 6,896.96/x
  3. Step 3: Cross multiply
    15,216.88x = 22,825.57 × 6,896.96
  4. Step 4: Simplify right side
    15,216.88x = 157,427,083.09
  5. Step 5: Solve for x
    x = 157,427,083.09/15,216.88
  6. Step 6: Final answer
    x = 10,345.56

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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.