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Finding the Fourth Proportional to 29,696.31, 40,981.56 and 16,949.24

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Solution

The fourth proportional to 29,696.31, 40,981.56 and 16,949.24 is: 23,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.31 : 40,981.56 = 16,949.24 : x
  2. Step 2: Convert to fraction form
    29,696.31/40,981.56 = 16,949.24/x
  3. Step 3: Cross multiply
    29,696.31x = 40,981.56 × 16,949.24
  4. Step 4: Simplify right side
    29,696.31x = 694,606,091.11
  5. Step 5: Solve for x
    x = 694,606,091.11/29,696.31
  6. Step 6: Final answer
    x = 23,390.32

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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.