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Finding the Fourth Proportional to 29,669.82, 40,943.03 and 16,241.64

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Solution

The fourth proportional to 29,669.82, 40,943.03 and 16,241.64 is: 22,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,669.82 : 40,943.03 = 16,241.64 : x
  2. Step 2: Convert to fraction form
    29,669.82/40,943.03 = 16,241.64/x
  3. Step 3: Cross multiply
    29,669.82x = 40,943.03 × 16,241.64
  4. Step 4: Simplify right side
    29,669.82x = 664,981,953.77
  5. Step 5: Solve for x
    x = 664,981,953.77/29,669.82
  6. Step 6: Final answer
    x = 22,412.74

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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.