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Finding the Fourth Proportional to 21,249.36, 31,873.68 and 7,398

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Solution

The fourth proportional to 21,249.36, 31,873.68 and 7,398 is: 11,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249.36 : 31,873.68 = 7,398 : x
  2. Step 2: Convert to fraction form
    21,249.36/31,873.68 = 7,398/x
  3. Step 3: Cross multiply
    21,249.36x = 31,873.68 × 7,398
  4. Step 4: Simplify right side
    21,249.36x = 235,801,484.64
  5. Step 5: Solve for x
    x = 235,801,484.64/21,249.36
  6. Step 6: Final answer
    x = 11,096.87

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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.