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Finding the Fourth Proportional to 22,381.44, 30,887.22 and 12,822.84

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Solution

The fourth proportional to 22,381.44, 30,887.22 and 12,822.84 is: 17,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,381.44 : 30,887.22 = 12,822.84 : x
  2. Step 2: Convert to fraction form
    22,381.44/30,887.22 = 12,822.84/x
  3. Step 3: Cross multiply
    22,381.44x = 30,887.22 × 12,822.84
  4. Step 4: Simplify right side
    22,381.44x = 396,061,880.10
  5. Step 5: Solve for x
    x = 396,061,880.10/22,381.44
  6. Step 6: Final answer
    x = 17,696.00

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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.