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Finding the Fourth Proportional to 24,471.01, 33,761.96 and 13,714.31

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Solution

The fourth proportional to 24,471.01, 33,761.96 and 13,714.31 is: 18,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,471.01 : 33,761.96 = 13,714.31 : x
  2. Step 2: Convert to fraction form
    24,471.01/33,761.96 = 13,714.31/x
  3. Step 3: Cross multiply
    24,471.01x = 33,761.96 × 13,714.31
  4. Step 4: Simplify right side
    24,471.01x = 463,022,130.05
  5. Step 5: Solve for x
    x = 463,022,130.05/24,471.01
  6. Step 6: Final answer
    x = 18,921.25

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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.