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Finding the Fourth Proportional to 12,143.58, 18,215.34 and 3,824.29

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Solution

The fourth proportional to 12,143.58, 18,215.34 and 3,824.29 is: 5,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.58 : 18,215.34 = 3,824.29 : x
  2. Step 2: Convert to fraction form
    12,143.58/18,215.34 = 3,824.29/x
  3. Step 3: Cross multiply
    12,143.58x = 18,215.34 × 3,824.29
  4. Step 4: Simplify right side
    12,143.58x = 69,660,742.61
  5. Step 5: Solve for x
    x = 69,660,742.61/12,143.58
  6. Step 6: Final answer
    x = 5,736.43

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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.