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Finding the Fourth Proportional to 17,221.08, 23,723.10 and 11,906.76

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Solution

The fourth proportional to 17,221.08, 23,723.10 and 11,906.76 is: 16,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.08 : 23,723.10 = 11,906.76 : x
  2. Step 2: Convert to fraction form
    17,221.08/23,723.10 = 11,906.76/x
  3. Step 3: Cross multiply
    17,221.08x = 23,723.10 × 11,906.76
  4. Step 4: Simplify right side
    17,221.08x = 282,465,258.16
  5. Step 5: Solve for x
    x = 282,465,258.16/17,221.08
  6. Step 6: Final answer
    x = 16,402.30

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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.