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Finding the Fourth Proportional to 20,645.92, 30,973.29 and 6,414.10

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Solution

The fourth proportional to 20,645.92, 30,973.29 and 6,414.10 is: 9,622.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.92 : 30,973.29 = 6,414.10 : x
  2. Step 2: Convert to fraction form
    20,645.92/30,973.29 = 6,414.10/x
  3. Step 3: Cross multiply
    20,645.92x = 30,973.29 × 6,414.10
  4. Step 4: Simplify right side
    20,645.92x = 198,665,779.39
  5. Step 5: Solve for x
    x = 198,665,779.39/20,645.92
  6. Step 6: Final answer
    x = 9,622.52

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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.