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Finding the Fourth Proportional to 29,431.42, 40,614.25 and 16,002.21

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Solution

The fourth proportional to 29,431.42, 40,614.25 and 16,002.21 is: 22,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.42 : 40,614.25 = 16,002.21 : x
  2. Step 2: Convert to fraction form
    29,431.42/40,614.25 = 16,002.21/x
  3. Step 3: Cross multiply
    29,431.42x = 40,614.25 × 16,002.21
  4. Step 4: Simplify right side
    29,431.42x = 649,917,757.49
  5. Step 5: Solve for x
    x = 649,917,757.49/29,431.42
  6. Step 6: Final answer
    x = 22,082.45

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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.