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Finding the Fourth Proportional to 21,212.70, 31,819.02 and 5,417.73

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Solution

The fourth proportional to 21,212.70, 31,819.02 and 5,417.73 is: 8,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.70 : 31,819.02 = 5,417.73 : x
  2. Step 2: Convert to fraction form
    21,212.70/31,819.02 = 5,417.73/x
  3. Step 3: Cross multiply
    21,212.70x = 31,819.02 × 5,417.73
  4. Step 4: Simplify right side
    21,212.70x = 172,386,859.22
  5. Step 5: Solve for x
    x = 172,386,859.22/21,212.70
  6. Step 6: Final answer
    x = 8,126.59

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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.