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Finding the Fourth Proportional to 16,325, 22,528.68 and 8,873

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Solution

The fourth proportional to 16,325, 22,528.68 and 8,873 is: 12,244.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,325 : 22,528.68 = 8,873 : x
  2. Step 2: Convert to fraction form
    16,325/22,528.68 = 8,873/x
  3. Step 3: Cross multiply
    16,325x = 22,528.68 × 8,873
  4. Step 4: Simplify right side
    16,325x = 199,896,977.64
  5. Step 5: Solve for x
    x = 199,896,977.64/16,325
  6. Step 6: Final answer
    x = 12,244.84

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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.