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Finding the Fourth Proportional to 21,742.56, 30,004.62 and 11,806.56

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Solution

The fourth proportional to 21,742.56, 30,004.62 and 11,806.56 is: 16,292.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742.56 : 30,004.62 = 11,806.56 : x
  2. Step 2: Convert to fraction form
    21,742.56/30,004.62 = 11,806.56/x
  3. Step 3: Cross multiply
    21,742.56x = 30,004.62 × 11,806.56
  4. Step 4: Simplify right side
    21,742.56x = 354,251,346.31
  5. Step 5: Solve for x
    x = 354,251,346.31/21,742.56
  6. Step 6: Final answer
    x = 16,292.99

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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.