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Finding the Fourth Proportional to 21,218.30, 31,819.94 and 6,221.26

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Solution

The fourth proportional to 21,218.30, 31,819.94 and 6,221.26 is: 9,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.30 : 31,819.94 = 6,221.26 : x
  2. Step 2: Convert to fraction form
    21,218.30/31,819.94 = 6,221.26/x
  3. Step 3: Cross multiply
    21,218.30x = 31,819.94 × 6,221.26
  4. Step 4: Simplify right side
    21,218.30x = 197,959,972.94
  5. Step 5: Solve for x
    x = 197,959,972.94/21,218.30
  6. Step 6: Final answer
    x = 9,329.68

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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.