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Finding the Fourth Proportional to 12,159.52, 18,243.63 and 3,840.01

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Solution

The fourth proportional to 12,159.52, 18,243.63 and 3,840.01 is: 5,761.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.52 : 18,243.63 = 3,840.01 : x
  2. Step 2: Convert to fraction form
    12,159.52/18,243.63 = 3,840.01/x
  3. Step 3: Cross multiply
    12,159.52x = 18,243.63 × 3,840.01
  4. Step 4: Simplify right side
    12,159.52x = 70,055,676.03
  5. Step 5: Solve for x
    x = 70,055,676.03/12,159.52
  6. Step 6: Final answer
    x = 5,761.39

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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.