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Finding the Fourth Proportional to 20,305.82, 30,416.16 and 12,906.44

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Solution

The fourth proportional to 20,305.82, 30,416.16 and 12,906.44 is: 19,332.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.82 : 30,416.16 = 12,906.44 : x
  2. Step 2: Convert to fraction form
    20,305.82/30,416.16 = 12,906.44/x
  3. Step 3: Cross multiply
    20,305.82x = 30,416.16 × 12,906.44
  4. Step 4: Simplify right side
    20,305.82x = 392,564,344.07
  5. Step 5: Solve for x
    x = 392,564,344.07/20,305.82
  6. Step 6: Final answer
    x = 19,332.60

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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.