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Finding the Fourth Proportional to 12,143.90, 18,215.86 and 3,824.48

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Solution

The fourth proportional to 12,143.90, 18,215.86 and 3,824.48 is: 5,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.90 : 18,215.86 = 3,824.48 : x
  2. Step 2: Convert to fraction form
    12,143.90/18,215.86 = 3,824.48/x
  3. Step 3: Cross multiply
    12,143.90x = 18,215.86 × 3,824.48
  4. Step 4: Simplify right side
    12,143.90x = 69,666,192.25
  5. Step 5: Solve for x
    x = 69,666,192.25/12,143.90
  6. Step 6: Final answer
    x = 5,736.72

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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.