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Finding the Fourth Proportional to 21,314.35, 31,933.22 and 12,544.48

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Solution

The fourth proportional to 21,314.35, 31,933.22 and 12,544.48 is: 18,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.35 : 31,933.22 = 12,544.48 : x
  2. Step 2: Convert to fraction form
    21,314.35/31,933.22 = 12,544.48/x
  3. Step 3: Cross multiply
    21,314.35x = 31,933.22 × 12,544.48
  4. Step 4: Simplify right side
    21,314.35x = 400,585,616.82
  5. Step 5: Solve for x
    x = 400,585,616.82/21,314.35
  6. Step 6: Final answer
    x = 18,794.17

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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.