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Finding the Fourth Proportional to 20,221.23, 27,904.92 and 11,022.87

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Solution

The fourth proportional to 20,221.23, 27,904.92 and 11,022.87 is: 15,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221.23 : 27,904.92 = 11,022.87 : x
  2. Step 2: Convert to fraction form
    20,221.23/27,904.92 = 11,022.87/x
  3. Step 3: Cross multiply
    20,221.23x = 27,904.92 × 11,022.87
  4. Step 4: Simplify right side
    20,221.23x = 307,592,305.52
  5. Step 5: Solve for x
    x = 307,592,305.52/20,221.23
  6. Step 6: Final answer
    x = 15,211.35

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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.