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Finding the Fourth Proportional to 21,581.74, 29,782.11 and 12,149.02

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Solution

The fourth proportional to 21,581.74, 29,782.11 and 12,149.02 is: 16,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,581.74 : 29,782.11 = 12,149.02 : x
  2. Step 2: Convert to fraction form
    21,581.74/29,782.11 = 12,149.02/x
  3. Step 3: Cross multiply
    21,581.74x = 29,782.11 × 12,149.02
  4. Step 4: Simplify right side
    21,581.74x = 361,823,450.03
  5. Step 5: Solve for x
    x = 361,823,450.03/21,581.74
  6. Step 6: Final answer
    x = 16,765.26

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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.