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Finding the Fourth Proportional to 12,609.83, 18,907.17 and 5,209.94

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Solution

The fourth proportional to 12,609.83, 18,907.17 and 5,209.94 is: 7,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,609.83 : 18,907.17 = 5,209.94 : x
  2. Step 2: Convert to fraction form
    12,609.83/18,907.17 = 5,209.94/x
  3. Step 3: Cross multiply
    12,609.83x = 18,907.17 × 5,209.94
  4. Step 4: Simplify right side
    12,609.83x = 98,505,126.73
  5. Step 5: Solve for x
    x = 98,505,126.73/12,609.83
  6. Step 6: Final answer
    x = 7,811.78

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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.