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Finding the Fourth Proportional to 16,884, 23,299.92 and 10,260

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Solution

The fourth proportional to 16,884, 23,299.92 and 10,260 is: 14,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884 : 23,299.92 = 10,260 : x
  2. Step 2: Convert to fraction form
    16,884/23,299.92 = 10,260/x
  3. Step 3: Cross multiply
    16,884x = 23,299.92 × 10,260
  4. Step 4: Simplify right side
    16,884x = 239,057,179.20
  5. Step 5: Solve for x
    x = 239,057,179.20/16,884
  6. Step 6: Final answer
    x = 14,158.80

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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.