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Finding the Fourth Proportional to 16,696.83, 23,041.62 and 9,244.83

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Solution

The fourth proportional to 16,696.83, 23,041.62 and 9,244.83 is: 12,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.83 : 23,041.62 = 9,244.83 : x
  2. Step 2: Convert to fraction form
    16,696.83/23,041.62 = 9,244.83/x
  3. Step 3: Cross multiply
    16,696.83x = 23,041.62 × 9,244.83
  4. Step 4: Simplify right side
    16,696.83x = 213,015,946.23
  5. Step 5: Solve for x
    x = 213,015,946.23/16,696.83
  6. Step 6: Final answer
    x = 12,757.86

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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.