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Finding the Fourth Proportional to 20,149.47, 27,804.15 and 11,650.23

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Solution

The fourth proportional to 20,149.47, 27,804.15 and 11,650.23 is: 16,076.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,149.47 : 27,804.15 = 11,650.23 : x
  2. Step 2: Convert to fraction form
    20,149.47/27,804.15 = 11,650.23/x
  3. Step 3: Cross multiply
    20,149.47x = 27,804.15 × 11,650.23
  4. Step 4: Simplify right side
    20,149.47x = 323,924,742.45
  5. Step 5: Solve for x
    x = 323,924,742.45/20,149.47
  6. Step 6: Final answer
    x = 16,076.09

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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.