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Finding the Fourth Proportional to 21,249.70, 31,878.76 and 11,902.98

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Solution

The fourth proportional to 21,249.70, 31,878.76 and 11,902.98 is: 17,856.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249.70 : 31,878.76 = 11,902.98 : x
  2. Step 2: Convert to fraction form
    21,249.70/31,878.76 = 11,902.98/x
  3. Step 3: Cross multiply
    21,249.70x = 31,878.76 × 11,902.98
  4. Step 4: Simplify right side
    21,249.70x = 379,452,242.70
  5. Step 5: Solve for x
    x = 379,452,242.70/21,249.70
  6. Step 6: Final answer
    x = 17,856.83

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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.