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Finding the Fourth Proportional to 16,002, 22,082.72 and 8,928

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Solution

The fourth proportional to 16,002, 22,082.72 and 8,928 is: 12,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002 : 22,082.72 = 8,928 : x
  2. Step 2: Convert to fraction form
    16,002/22,082.72 = 8,928/x
  3. Step 3: Cross multiply
    16,002x = 22,082.72 × 8,928
  4. Step 4: Simplify right side
    16,002x = 197,154,524.16
  5. Step 5: Solve for x
    x = 197,154,524.16/16,002
  6. Step 6: Final answer
    x = 12,320.62

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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.