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Finding the Fourth Proportional to 29,869.31, 41,219.14 and 16,440.29

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Solution

The fourth proportional to 29,869.31, 41,219.14 and 16,440.29 is: 22,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,869.31 : 41,219.14 = 16,440.29 : x
  2. Step 2: Convert to fraction form
    29,869.31/41,219.14 = 16,440.29/x
  3. Step 3: Cross multiply
    29,869.31x = 41,219.14 × 16,440.29
  4. Step 4: Simplify right side
    29,869.31x = 677,654,326.85
  5. Step 5: Solve for x
    x = 677,654,326.85/29,869.31
  6. Step 6: Final answer
    x = 22,687.31

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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.