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Finding the Fourth Proportional to 20,192.76, 27,862.68 and 11,240.03

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Solution

The fourth proportional to 20,192.76, 27,862.68 and 11,240.03 is: 15,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,192.76 : 27,862.68 = 11,240.03 : x
  2. Step 2: Convert to fraction form
    20,192.76/27,862.68 = 11,240.03/x
  3. Step 3: Cross multiply
    20,192.76x = 27,862.68 × 11,240.03
  4. Step 4: Simplify right side
    20,192.76x = 313,177,470.89
  5. Step 5: Solve for x
    x = 313,177,470.89/20,192.76
  6. Step 6: Final answer
    x = 15,509.39

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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.