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Finding the Fourth Proportional to 16,253, 22,429.14 and 8,801

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Solution

The fourth proportional to 16,253, 22,429.14 and 8,801 is: 12,145.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253 : 22,429.14 = 8,801 : x
  2. Step 2: Convert to fraction form
    16,253/22,429.14 = 8,801/x
  3. Step 3: Cross multiply
    16,253x = 22,429.14 × 8,801
  4. Step 4: Simplify right side
    16,253x = 197,398,861.14
  5. Step 5: Solve for x
    x = 197,398,861.14/16,253
  6. Step 6: Final answer
    x = 12,145.38

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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.