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Finding the Fourth Proportional to 22,682.24, 34,019.51 and 6,883.46

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Solution

The fourth proportional to 22,682.24, 34,019.51 and 6,883.46 is: 10,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,682.24 : 34,019.51 = 6,883.46 : x
  2. Step 2: Convert to fraction form
    22,682.24/34,019.51 = 6,883.46/x
  3. Step 3: Cross multiply
    22,682.24x = 34,019.51 × 6,883.46
  4. Step 4: Simplify right side
    22,682.24x = 234,172,038.56
  5. Step 5: Solve for x
    x = 234,172,038.56/22,682.24
  6. Step 6: Final answer
    x = 10,324.02

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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.