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Finding the Fourth Proportional to 20,659.23, 28,509.87 and 11,227.77

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Solution

The fourth proportional to 20,659.23, 28,509.87 and 11,227.77 is: 15,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.23 : 28,509.87 = 11,227.77 : x
  2. Step 2: Convert to fraction form
    20,659.23/28,509.87 = 11,227.77/x
  3. Step 3: Cross multiply
    20,659.23x = 28,509.87 × 11,227.77
  4. Step 4: Simplify right side
    20,659.23x = 320,102,263.09
  5. Step 5: Solve for x
    x = 320,102,263.09/20,659.23
  6. Step 6: Final answer
    x = 15,494.39

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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.