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Finding the Fourth Proportional to 19,921.22, 27,489.00 and 11,421

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Solution

The fourth proportional to 19,921.22, 27,489.00 and 11,421 is: 15,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921.22 : 27,489.00 = 11,421 : x
  2. Step 2: Convert to fraction form
    19,921.22/27,489.00 = 11,421/x
  3. Step 3: Cross multiply
    19,921.22x = 27,489.00 × 11,421
  4. Step 4: Simplify right side
    19,921.22x = 313,951,815.46
  5. Step 5: Solve for x
    x = 313,951,815.46/19,921.22
  6. Step 6: Final answer
    x = 15,759.67

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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.