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Finding the Fourth Proportional to 22,922.88, 31,632.24 and 12,850.56

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Solution

The fourth proportional to 22,922.88, 31,632.24 and 12,850.56 is: 17,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922.88 : 31,632.24 = 12,850.56 : x
  2. Step 2: Convert to fraction form
    22,922.88/31,632.24 = 12,850.56/x
  3. Step 3: Cross multiply
    22,922.88x = 31,632.24 × 12,850.56
  4. Step 4: Simplify right side
    22,922.88x = 406,491,998.05
  5. Step 5: Solve for x
    x = 406,491,998.05/22,922.88
  6. Step 6: Final answer
    x = 17,733.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.