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Finding the Fourth Proportional to 20,462.97, 30,695.10 and 5,672.01

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Solution

The fourth proportional to 20,462.97, 30,695.10 and 5,672.01 is: 8,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.97 : 30,695.10 = 5,672.01 : x
  2. Step 2: Convert to fraction form
    20,462.97/30,695.10 = 5,672.01/x
  3. Step 3: Cross multiply
    20,462.97x = 30,695.10 × 5,672.01
  4. Step 4: Simplify right side
    20,462.97x = 174,102,914.15
  5. Step 5: Solve for x
    x = 174,102,914.15/20,462.97
  6. Step 6: Final answer
    x = 8,508.19

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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.