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Finding the Fourth Proportional to 21,200.20, 31,751.70 and 20,714.20

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Solution

The fourth proportional to 21,200.20, 31,751.70 and 20,714.20 is: 31,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.20 : 31,751.70 = 20,714.20 : x
  2. Step 2: Convert to fraction form
    21,200.20/31,751.70 = 20,714.20/x
  3. Step 3: Cross multiply
    21,200.20x = 31,751.70 × 20,714.20
  4. Step 4: Simplify right side
    21,200.20x = 657,711,064.14
  5. Step 5: Solve for x
    x = 657,711,064.14/21,200.20
  6. Step 6: Final answer
    x = 31,023.81

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1.5x scale

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.