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Finding the Fourth Proportional to 20,020.40, 30,020.40 and 6,688.61

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Solution

The fourth proportional to 20,020.40, 30,020.40 and 6,688.61 is: 10,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,020.40 : 30,020.40 = 6,688.61 : x
  2. Step 2: Convert to fraction form
    20,020.40/30,020.40 = 6,688.61/x
  3. Step 3: Cross multiply
    20,020.40x = 30,020.40 × 6,688.61
  4. Step 4: Simplify right side
    20,020.40x = 200,794,597.54
  5. Step 5: Solve for x
    x = 200,794,597.54/20,020.40
  6. Step 6: Final answer
    x = 10,029.50

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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.