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Finding the Fourth Proportional to 16,876, 23,288.90 and 9,424

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Solution

The fourth proportional to 16,876, 23,288.90 and 9,424 is: 13,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876 : 23,288.90 = 9,424 : x
  2. Step 2: Convert to fraction form
    16,876/23,288.90 = 9,424/x
  3. Step 3: Cross multiply
    16,876x = 23,288.90 × 9,424
  4. Step 4: Simplify right side
    16,876x = 219,474,593.60
  5. Step 5: Solve for x
    x = 219,474,593.60/16,876
  6. Step 6: Final answer
    x = 13,005.13

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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.