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Finding the Fourth Proportional to 12,431.98, 18,648.42 and 4,112.20

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Solution

The fourth proportional to 12,431.98, 18,648.42 and 4,112.20 is: 6,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.98 : 18,648.42 = 4,112.20 : x
  2. Step 2: Convert to fraction form
    12,431.98/18,648.42 = 4,112.20/x
  3. Step 3: Cross multiply
    12,431.98x = 18,648.42 × 4,112.20
  4. Step 4: Simplify right side
    12,431.98x = 76,686,032.72
  5. Step 5: Solve for x
    x = 76,686,032.72/12,431.98
  6. Step 6: Final answer
    x = 6,168.45

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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.