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Finding the Fourth Proportional to 20,199.92, 30,265.86 and 12,812.72

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Solution

The fourth proportional to 20,199.92, 30,265.86 and 12,812.72 is: 19,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.92 : 30,265.86 = 12,812.72 : x
  2. Step 2: Convert to fraction form
    20,199.92/30,265.86 = 12,812.72/x
  3. Step 3: Cross multiply
    20,199.92x = 30,265.86 × 12,812.72
  4. Step 4: Simplify right side
    20,199.92x = 387,787,989.74
  5. Step 5: Solve for x
    x = 387,787,989.74/20,199.92
  6. Step 6: Final answer
    x = 19,197.50

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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.