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Finding the Fourth Proportional to 15,530.69, 23,295.74 and 3,843.90

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Solution

The fourth proportional to 15,530.69, 23,295.74 and 3,843.90 is: 5,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.69 : 23,295.74 = 3,843.90 : x
  2. Step 2: Convert to fraction form
    15,530.69/23,295.74 = 3,843.90/x
  3. Step 3: Cross multiply
    15,530.69x = 23,295.74 × 3,843.90
  4. Step 4: Simplify right side
    15,530.69x = 89,546,475.77
  5. Step 5: Solve for x
    x = 89,546,475.77/15,530.69
  6. Step 6: Final answer
    x = 5,765.78

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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.