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Finding the Fourth Proportional to 21,630.24, 29,849.76 and 11,694.24

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Solution

The fourth proportional to 21,630.24, 29,849.76 and 11,694.24 is: 16,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,630.24 : 29,849.76 = 11,694.24 : x
  2. Step 2: Convert to fraction form
    21,630.24/29,849.76 = 11,694.24/x
  3. Step 3: Cross multiply
    21,630.24x = 29,849.76 × 11,694.24
  4. Step 4: Simplify right side
    21,630.24x = 349,070,257.38
  5. Step 5: Solve for x
    x = 349,070,257.38/21,630.24
  6. Step 6: Final answer
    x = 16,138.07

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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.