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Finding the Fourth Proportional to 20,659.14, 28,509.67 and 11,227.74

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Solution

The fourth proportional to 20,659.14, 28,509.67 and 11,227.74 is: 15,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659.14 : 28,509.67 = 11,227.74 : x
  2. Step 2: Convert to fraction form
    20,659.14/28,509.67 = 11,227.74/x
  3. Step 3: Cross multiply
    20,659.14x = 28,509.67 × 11,227.74
  4. Step 4: Simplify right side
    20,659.14x = 320,099,162.25
  5. Step 5: Solve for x
    x = 320,099,162.25/20,659.14
  6. Step 6: Final answer
    x = 15,494.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.