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Finding the Fourth Proportional to 20,999.20, 31,693.24 and 20,999.20

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Solution

The fourth proportional to 20,999.20, 31,693.24 and 20,999.20 is: 31,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.20 : 31,693.24 = 20,999.20 : x
  2. Step 2: Convert to fraction form
    20,999.20/31,693.24 = 20,999.20/x
  3. Step 3: Cross multiply
    20,999.20x = 31,693.24 × 20,999.20
  4. Step 4: Simplify right side
    20,999.20x = 665,532,685.41
  5. Step 5: Solve for x
    x = 665,532,685.41/20,999.20
  6. Step 6: Final answer
    x = 31,693.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.