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Finding the Fourth Proportional to 20,006.54, 30,002.61 and 6,855.38

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Solution

The fourth proportional to 20,006.54, 30,002.61 and 6,855.38 is: 10,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,006.54 : 30,002.61 = 6,855.38 : x
  2. Step 2: Convert to fraction form
    20,006.54/30,002.61 = 6,855.38/x
  3. Step 3: Cross multiply
    20,006.54x = 30,002.61 × 6,855.38
  4. Step 4: Simplify right side
    20,006.54x = 205,679,292.54
  5. Step 5: Solve for x
    x = 205,679,292.54/20,006.54
  6. Step 6: Final answer
    x = 10,280.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.