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Finding the Fourth Proportional to 29,569, 40,805.22 and 16,321

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Solution

The fourth proportional to 29,569, 40,805.22 and 16,321 is: 22,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,569 : 40,805.22 = 16,321 : x
  2. Step 2: Convert to fraction form
    29,569/40,805.22 = 16,321/x
  3. Step 3: Cross multiply
    29,569x = 40,805.22 × 16,321
  4. Step 4: Simplify right side
    29,569x = 665,981,995.62
  5. Step 5: Solve for x
    x = 665,981,995.62/29,569
  6. Step 6: Final answer
    x = 22,522.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.