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Finding the Fourth Proportional to 12,257.62, 18,388.26 and 5,684.47

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Solution

The fourth proportional to 12,257.62, 18,388.26 and 5,684.47 is: 8,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.62 : 18,388.26 = 5,684.47 : x
  2. Step 2: Convert to fraction form
    12,257.62/18,388.26 = 5,684.47/x
  3. Step 3: Cross multiply
    12,257.62x = 18,388.26 × 5,684.47
  4. Step 4: Simplify right side
    12,257.62x = 104,527,512.32
  5. Step 5: Solve for x
    x = 104,527,512.32/12,257.62
  6. Step 6: Final answer
    x = 8,527.55

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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.