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Finding the Fourth Proportional to 22,883.49, 31,579.22 and 12,811.95

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Solution

The fourth proportional to 22,883.49, 31,579.22 and 12,811.95 is: 17,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.49 : 31,579.22 = 12,811.95 : x
  2. Step 2: Convert to fraction form
    22,883.49/31,579.22 = 12,811.95/x
  3. Step 3: Cross multiply
    22,883.49x = 31,579.22 × 12,811.95
  4. Step 4: Simplify right side
    22,883.49x = 404,591,323.62
  5. Step 5: Solve for x
    x = 404,591,323.62/22,883.49
  6. Step 6: Final answer
    x = 17,680.49

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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.