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Finding the Fourth Proportional to 20,944, 31,424.08 and 7,092.96

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Solution

The fourth proportional to 20,944, 31,424.08 and 7,092.96 is: 10,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,944 : 31,424.08 = 7,092.96 : x
  2. Step 2: Convert to fraction form
    20,944/31,424.08 = 7,092.96/x
  3. Step 3: Cross multiply
    20,944x = 31,424.08 × 7,092.96
  4. Step 4: Simplify right side
    20,944x = 222,889,742.48
  5. Step 5: Solve for x
    x = 222,889,742.48/20,944
  6. Step 6: Final answer
    x = 10,642.18

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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.