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Finding the Fourth Proportional to 22,741, 31,382.82 and 12,805

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Solution

The fourth proportional to 22,741, 31,382.82 and 12,805 is: 17,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741 : 31,382.82 = 12,805 : x
  2. Step 2: Convert to fraction form
    22,741/31,382.82 = 12,805/x
  3. Step 3: Cross multiply
    22,741x = 31,382.82 × 12,805
  4. Step 4: Simplify right side
    22,741x = 401,857,010.10
  5. Step 5: Solve for x
    x = 401,857,010.10/22,741
  6. Step 6: Final answer
    x = 17,671.04

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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.