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Finding the Fourth Proportional to 12,427.82, 18,642.31 and 3,543.76

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Solution

The fourth proportional to 12,427.82, 18,642.31 and 3,543.76 is: 5,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.82 : 18,642.31 = 3,543.76 : x
  2. Step 2: Convert to fraction form
    12,427.82/18,642.31 = 3,543.76/x
  3. Step 3: Cross multiply
    12,427.82x = 18,642.31 × 3,543.76
  4. Step 4: Simplify right side
    12,427.82x = 66,063,817.02
  5. Step 5: Solve for x
    x = 66,063,817.02/12,427.82
  6. Step 6: Final answer
    x = 5,315.80

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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.