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Finding the Fourth Proportional to 16,361.52, 22,578.12 and 9,287

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Solution

The fourth proportional to 16,361.52, 22,578.12 and 9,287 is: 12,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,361.52 : 22,578.12 = 9,287 : x
  2. Step 2: Convert to fraction form
    16,361.52/22,578.12 = 9,287/x
  3. Step 3: Cross multiply
    16,361.52x = 22,578.12 × 9,287
  4. Step 4: Simplify right side
    16,361.52x = 209,683,000.44
  5. Step 5: Solve for x
    x = 209,683,000.44/16,361.52
  6. Step 6: Final answer
    x = 12,815.62

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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.