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Finding the Fourth Proportional to 20,782.76, 28,679.40 and 11,351.39

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Solution

The fourth proportional to 20,782.76, 28,679.40 and 11,351.39 is: 15,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.76 : 28,679.40 = 11,351.39 : x
  2. Step 2: Convert to fraction form
    20,782.76/28,679.40 = 11,351.39/x
  3. Step 3: Cross multiply
    20,782.76x = 28,679.40 × 11,351.39
  4. Step 4: Simplify right side
    20,782.76x = 325,550,910.97
  5. Step 5: Solve for x
    x = 325,550,910.97/20,782.76
  6. Step 6: Final answer
    x = 15,664.47

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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.