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Finding the Fourth Proportional to 20,470.77, 30,704.39 and 12,463.46

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Solution

The fourth proportional to 20,470.77, 30,704.39 and 12,463.46 is: 18,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.77 : 30,704.39 = 12,463.46 : x
  2. Step 2: Convert to fraction form
    20,470.77/30,704.39 = 12,463.46/x
  3. Step 3: Cross multiply
    20,470.77x = 30,704.39 × 12,463.46
  4. Step 4: Simplify right side
    20,470.77x = 382,683,021.14
  5. Step 5: Solve for x
    x = 382,683,021.14/20,470.77
  6. Step 6: Final answer
    x = 18,694.12

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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.