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Finding the Fourth Proportional to 29,412.30, 40,589.37 and 15,983.82

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Solution

The fourth proportional to 29,412.30, 40,589.37 and 15,983.82 is: 22,057.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,412.30 : 40,589.37 = 15,983.82 : x
  2. Step 2: Convert to fraction form
    29,412.30/40,589.37 = 15,983.82/x
  3. Step 3: Cross multiply
    29,412.30x = 40,589.37 × 15,983.82
  4. Step 4: Simplify right side
    29,412.30x = 648,773,183.99
  5. Step 5: Solve for x
    x = 648,773,183.99/29,412.30
  6. Step 6: Final answer
    x = 22,057.89

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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.