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Finding the Fourth Proportional to 15,240.15, 22,855.37 and 7,843.64

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Solution

The fourth proportional to 15,240.15, 22,855.37 and 7,843.64 is: 11,762.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,240.15 : 22,855.37 = 7,843.64 : x
  2. Step 2: Convert to fraction form
    15,240.15/22,855.37 = 7,843.64/x
  3. Step 3: Cross multiply
    15,240.15x = 22,855.37 × 7,843.64
  4. Step 4: Simplify right side
    15,240.15x = 179,269,140.85
  5. Step 5: Solve for x
    x = 179,269,140.85/15,240.15
  6. Step 6: Final answer
    x = 11,762.95

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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.