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Finding the Fourth Proportional to 16,696.16, 23,039.67 and 9,142.58

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Solution

The fourth proportional to 16,696.16, 23,039.67 and 9,142.58 is: 12,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.16 : 23,039.67 = 9,142.58 : x
  2. Step 2: Convert to fraction form
    16,696.16/23,039.67 = 9,142.58/x
  3. Step 3: Cross multiply
    16,696.16x = 23,039.67 × 9,142.58
  4. Step 4: Simplify right side
    16,696.16x = 210,641,945.23
  5. Step 5: Solve for x
    x = 210,641,945.23/16,696.16
  6. Step 6: Final answer
    x = 12,616.19

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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.