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Finding the Fourth Proportional to 16,411.26, 22,646.16 and 9,696.54

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Solution

The fourth proportional to 16,411.26, 22,646.16 and 9,696.54 is: 13,380.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.26 : 22,646.16 = 9,696.54 : x
  2. Step 2: Convert to fraction form
    16,411.26/22,646.16 = 9,696.54/x
  3. Step 3: Cross multiply
    16,411.26x = 22,646.16 × 9,696.54
  4. Step 4: Simplify right side
    16,411.26x = 219,589,396.29
  5. Step 5: Solve for x
    x = 219,589,396.29/16,411.26
  6. Step 6: Final answer
    x = 13,380.41

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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.