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Finding the Fourth Proportional to 12,493.44, 18,745.92 and 6,341.76

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Solution

The fourth proportional to 12,493.44, 18,745.92 and 6,341.76 is: 9,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.44 : 18,745.92 = 6,341.76 : x
  2. Step 2: Convert to fraction form
    12,493.44/18,745.92 = 6,341.76/x
  3. Step 3: Cross multiply
    12,493.44x = 18,745.92 × 6,341.76
  4. Step 4: Simplify right side
    12,493.44x = 118,882,125.62
  5. Step 5: Solve for x
    x = 118,882,125.62/12,493.44
  6. Step 6: Final answer
    x = 9,515.56

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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.