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Finding the Fourth Proportional to 20,696.98, 31,034.72 and 10,162.30

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Solution

The fourth proportional to 20,696.98, 31,034.72 and 10,162.30 is: 15,238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696.98 : 31,034.72 = 10,162.30 : x
  2. Step 2: Convert to fraction form
    20,696.98/31,034.72 = 10,162.30/x
  3. Step 3: Cross multiply
    20,696.98x = 31,034.72 × 10,162.30
  4. Step 4: Simplify right side
    20,696.98x = 315,384,135.06
  5. Step 5: Solve for x
    x = 315,384,135.06/20,696.98
  6. Step 6: Final answer
    x = 15,238.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.