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Finding the Fourth Proportional to 21,220.90, 31,834.79 and 7,181.78

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Solution

The fourth proportional to 21,220.90, 31,834.79 and 7,181.78 is: 10,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.90 : 31,834.79 = 7,181.78 : x
  2. Step 2: Convert to fraction form
    21,220.90/31,834.79 = 7,181.78/x
  3. Step 3: Cross multiply
    21,220.90x = 31,834.79 × 7,181.78
  4. Step 4: Simplify right side
    21,220.90x = 228,630,458.13
  5. Step 5: Solve for x
    x = 228,630,458.13/21,220.90
  6. Step 6: Final answer
    x = 10,773.83

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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.