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Finding the Fourth Proportional to 29,204.81, 43,806.58 and 8,144.29

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Solution

The fourth proportional to 29,204.81, 43,806.58 and 8,144.29 is: 12,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,204.81 : 43,806.58 = 8,144.29 : x
  2. Step 2: Convert to fraction form
    29,204.81/43,806.58 = 8,144.29/x
  3. Step 3: Cross multiply
    29,204.81x = 43,806.58 × 8,144.29
  4. Step 4: Simplify right side
    29,204.81x = 356,773,400.80
  5. Step 5: Solve for x
    x = 356,773,400.80/29,204.81
  6. Step 6: Final answer
    x = 12,216.26

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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.