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Finding the Fourth Proportional to 20,101.86, 27,740.94 and 11,026.64

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Solution

The fourth proportional to 20,101.86, 27,740.94 and 11,026.64 is: 15,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.86 : 27,740.94 = 11,026.64 : x
  2. Step 2: Convert to fraction form
    20,101.86/27,740.94 = 11,026.64/x
  3. Step 3: Cross multiply
    20,101.86x = 27,740.94 × 11,026.64
  4. Step 4: Simplify right side
    20,101.86x = 305,889,358.64
  5. Step 5: Solve for x
    x = 305,889,358.64/20,101.86
  6. Step 6: Final answer
    x = 15,216.97

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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.