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Finding the Fourth Proportional to 20,604.50, 30,906.18 and 6,565.56

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Solution

The fourth proportional to 20,604.50, 30,906.18 and 6,565.56 is: 9,848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,604.50 : 30,906.18 = 6,565.56 : x
  2. Step 2: Convert to fraction form
    20,604.50/30,906.18 = 6,565.56/x
  3. Step 3: Cross multiply
    20,604.50x = 30,906.18 × 6,565.56
  4. Step 4: Simplify right side
    20,604.50x = 202,916,281.73
  5. Step 5: Solve for x
    x = 202,916,281.73/20,604.50
  6. Step 6: Final answer
    x = 9,848.15

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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.