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Finding the Fourth Proportional to 12,580.90, 18,872.26 and 3,821.96

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Solution

The fourth proportional to 12,580.90, 18,872.26 and 3,821.96 is: 5,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580.90 : 18,872.26 = 3,821.96 : x
  2. Step 2: Convert to fraction form
    12,580.90/18,872.26 = 3,821.96/x
  3. Step 3: Cross multiply
    12,580.90x = 18,872.26 × 3,821.96
  4. Step 4: Simplify right side
    12,580.90x = 72,129,022.83
  5. Step 5: Solve for x
    x = 72,129,022.83/12,580.90
  6. Step 6: Final answer
    x = 5,733.22

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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.