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Finding the Fourth Proportional to 20,451.81, 30,674.67 and 13,107.63

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Solution

The fourth proportional to 20,451.81, 30,674.67 and 13,107.63 is: 19,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.81 : 30,674.67 = 13,107.63 : x
  2. Step 2: Convert to fraction form
    20,451.81/30,674.67 = 13,107.63/x
  3. Step 3: Cross multiply
    20,451.81x = 30,674.67 × 13,107.63
  4. Step 4: Simplify right side
    20,451.81x = 402,072,224.73
  5. Step 5: Solve for x
    x = 402,072,224.73/20,451.81
  6. Step 6: Final answer
    x = 19,659.49

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Why These Related Problems?

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