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Finding the Fourth Proportional to 21,640.52, 29,865.41 and 12,082.28

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Solution

The fourth proportional to 21,640.52, 29,865.41 and 12,082.28 is: 16,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.52 : 29,865.41 = 12,082.28 : x
  2. Step 2: Convert to fraction form
    21,640.52/29,865.41 = 12,082.28/x
  3. Step 3: Cross multiply
    21,640.52x = 29,865.41 × 12,082.28
  4. Step 4: Simplify right side
    21,640.52x = 360,842,249.50
  5. Step 5: Solve for x
    x = 360,842,249.50/21,640.52
  6. Step 6: Final answer
    x = 16,674.38

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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.