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Finding the Fourth Proportional to 12,254.67, 18,378.90 and 5,230.80

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Solution

The fourth proportional to 12,254.67, 18,378.90 and 5,230.80 is: 7,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.67 : 18,378.90 = 5,230.80 : x
  2. Step 2: Convert to fraction form
    12,254.67/18,378.90 = 5,230.80/x
  3. Step 3: Cross multiply
    12,254.67x = 18,378.90 × 5,230.80
  4. Step 4: Simplify right side
    12,254.67x = 96,136,350.12
  5. Step 5: Solve for x
    x = 96,136,350.12/12,254.67
  6. Step 6: Final answer
    x = 7,844.87

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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.