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Finding the Fourth Proportional to 20,742.90, 31,110.30 and 6,891.90

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Solution

The fourth proportional to 20,742.90, 31,110.30 and 6,891.90 is: 10,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,742.90 : 31,110.30 = 6,891.90 : x
  2. Step 2: Convert to fraction form
    20,742.90/31,110.30 = 6,891.90/x
  3. Step 3: Cross multiply
    20,742.90x = 31,110.30 × 6,891.90
  4. Step 4: Simplify right side
    20,742.90x = 214,409,076.57
  5. Step 5: Solve for x
    x = 214,409,076.57/20,742.90
  6. Step 6: Final answer
    x = 10,336.50

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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.