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Finding the Fourth Proportional to 21,782.83, 30,057.83 and 12,221.44

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Solution

The fourth proportional to 21,782.83, 30,057.83 and 12,221.44 is: 16,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.83 : 30,057.83 = 12,221.44 : x
  2. Step 2: Convert to fraction form
    21,782.83/30,057.83 = 12,221.44/x
  3. Step 3: Cross multiply
    21,782.83x = 30,057.83 × 12,221.44
  4. Step 4: Simplify right side
    21,782.83x = 367,349,944.20
  5. Step 5: Solve for x
    x = 367,349,944.20/21,782.83
  6. Step 6: Final answer
    x = 16,864.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.