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Finding the Fourth Proportional to 21,257.82, 31,859 and 13,249.28

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Solution

The fourth proportional to 21,257.82, 31,859 and 13,249.28 is: 19,856.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,257.82 : 31,859 = 13,249.28 : x
  2. Step 2: Convert to fraction form
    21,257.82/31,859 = 13,249.28/x
  3. Step 3: Cross multiply
    21,257.82x = 31,859 × 13,249.28
  4. Step 4: Simplify right side
    21,257.82x = 422,108,811.52
  5. Step 5: Solve for x
    x = 422,108,811.52/21,257.82
  6. Step 6: Final answer
    x = 19,856.64

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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.