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Finding the Fourth Proportional to 29,709.42, 40,997.22 and 16,278

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Solution

The fourth proportional to 29,709.42, 40,997.22 and 16,278 is: 22,462.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.42 : 40,997.22 = 16,278 : x
  2. Step 2: Convert to fraction form
    29,709.42/40,997.22 = 16,278/x
  3. Step 3: Cross multiply
    29,709.42x = 40,997.22 × 16,278
  4. Step 4: Simplify right side
    29,709.42x = 667,352,747.16
  5. Step 5: Solve for x
    x = 667,352,747.16/29,709.42
  6. Step 6: Final answer
    x = 22,462.66

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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.