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Finding the Fourth Proportional to 20,237.92, 27,929.28 and 11,857.12

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Solution

The fourth proportional to 20,237.92, 27,929.28 and 11,857.12 is: 16,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237.92 : 27,929.28 = 11,857.12 : x
  2. Step 2: Convert to fraction form
    20,237.92/27,929.28 = 11,857.12/x
  3. Step 3: Cross multiply
    20,237.92x = 27,929.28 × 11,857.12
  4. Step 4: Simplify right side
    20,237.92x = 331,160,824.47
  5. Step 5: Solve for x
    x = 331,160,824.47/20,237.92
  6. Step 6: Final answer
    x = 16,363.38

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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.