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Finding the Fourth Proportional to 16,522.05, 22,800.46 and 8,968.38

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Solution

The fourth proportional to 16,522.05, 22,800.46 and 8,968.38 is: 12,376.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,522.05 : 22,800.46 = 8,968.38 : x
  2. Step 2: Convert to fraction form
    16,522.05/22,800.46 = 8,968.38/x
  3. Step 3: Cross multiply
    16,522.05x = 22,800.46 × 8,968.38
  4. Step 4: Simplify right side
    16,522.05x = 204,483,144.61
  5. Step 5: Solve for x
    x = 204,483,144.61/16,522.05
  6. Step 6: Final answer
    x = 12,376.38

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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.