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Finding the Fourth Proportional to 29,674.75, 40,951.16 and 16,426.75

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Solution

The fourth proportional to 29,674.75, 40,951.16 and 16,426.75 is: 22,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,674.75 : 40,951.16 = 16,426.75 : x
  2. Step 2: Convert to fraction form
    29,674.75/40,951.16 = 16,426.75/x
  3. Step 3: Cross multiply
    29,674.75x = 40,951.16 × 16,426.75
  4. Step 4: Simplify right side
    29,674.75x = 672,694,467.53
  5. Step 5: Solve for x
    x = 672,694,467.53/29,674.75
  6. Step 6: Final answer
    x = 22,668.92

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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.