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Finding the Fourth Proportional to 22,380.56, 30,884.52 and 12,309

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Solution

The fourth proportional to 22,380.56, 30,884.52 and 12,309 is: 16,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.56 : 30,884.52 = 12,309 : x
  2. Step 2: Convert to fraction form
    22,380.56/30,884.52 = 12,309/x
  3. Step 3: Cross multiply
    22,380.56x = 30,884.52 × 12,309
  4. Step 4: Simplify right side
    22,380.56x = 380,157,556.68
  5. Step 5: Solve for x
    x = 380,157,556.68/22,380.56
  6. Step 6: Final answer
    x = 16,986.06

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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.