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Finding the Fourth Proportional to 20,657.56, 30,909.76 and 12,342.12

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Solution

The fourth proportional to 20,657.56, 30,909.76 and 12,342.12 is: 18,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.56 : 30,909.76 = 12,342.12 : x
  2. Step 2: Convert to fraction form
    20,657.56/30,909.76 = 12,342.12/x
  3. Step 3: Cross multiply
    20,657.56x = 30,909.76 × 12,342.12
  4. Step 4: Simplify right side
    20,657.56x = 381,491,967.09
  5. Step 5: Solve for x
    x = 381,491,967.09/20,657.56
  6. Step 6: Final answer
    x = 18,467.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.