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Finding the Fourth Proportional to 12,441.74, 18,656.53 and 5,427.68

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Solution

The fourth proportional to 12,441.74, 18,656.53 and 5,427.68 is: 8,138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.74 : 18,656.53 = 5,427.68 : x
  2. Step 2: Convert to fraction form
    12,441.74/18,656.53 = 5,427.68/x
  3. Step 3: Cross multiply
    12,441.74x = 18,656.53 × 5,427.68
  4. Step 4: Simplify right side
    12,441.74x = 101,261,567.90
  5. Step 5: Solve for x
    x = 101,261,567.90/12,441.74
  6. Step 6: Final answer
    x = 8,138.86

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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.