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Finding the Fourth Proportional to 12,159.72, 18,237.96 and 3,840.48

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Solution

The fourth proportional to 12,159.72, 18,237.96 and 3,840.48 is: 5,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.72 : 18,237.96 = 3,840.48 : x
  2. Step 2: Convert to fraction form
    12,159.72/18,237.96 = 3,840.48/x
  3. Step 3: Cross multiply
    12,159.72x = 18,237.96 × 3,840.48
  4. Step 4: Simplify right side
    12,159.72x = 70,042,520.62
  5. Step 5: Solve for x
    x = 70,042,520.62/12,159.72
  6. Step 6: Final answer
    x = 5,760.21

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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.