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Finding the Fourth Proportional to 21,749.57, 30,016.52 and 12,191.08

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Solution

The fourth proportional to 21,749.57, 30,016.52 and 12,191.08 is: 16,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,749.57 : 30,016.52 = 12,191.08 : x
  2. Step 2: Convert to fraction form
    21,749.57/30,016.52 = 12,191.08/x
  3. Step 3: Cross multiply
    21,749.57x = 30,016.52 × 12,191.08
  4. Step 4: Simplify right side
    21,749.57x = 365,933,810.73
  5. Step 5: Solve for x
    x = 365,933,810.73/21,749.57
  6. Step 6: Final answer
    x = 16,824.87

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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.