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Finding the Fourth Proportional to 29,219.31, 43,833.20 and 9,222.03

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Solution

The fourth proportional to 29,219.31, 43,833.20 and 9,222.03 is: 13,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219.31 : 43,833.20 = 9,222.03 : x
  2. Step 2: Convert to fraction form
    29,219.31/43,833.20 = 9,222.03/x
  3. Step 3: Cross multiply
    29,219.31x = 43,833.20 × 9,222.03
  4. Step 4: Simplify right side
    29,219.31x = 404,231,039.29
  5. Step 5: Solve for x
    x = 404,231,039.29/29,219.31
  6. Step 6: Final answer
    x = 13,834.38

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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.