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Finding the Fourth Proportional to 12,254.50, 18,352.50 and 7,049.44

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Solution

The fourth proportional to 12,254.50, 18,352.50 and 7,049.44 is: 10,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.50 : 18,352.50 = 7,049.44 : x
  2. Step 2: Convert to fraction form
    12,254.50/18,352.50 = 7,049.44/x
  3. Step 3: Cross multiply
    12,254.50x = 18,352.50 × 7,049.44
  4. Step 4: Simplify right side
    12,254.50x = 129,374,847.60
  5. Step 5: Solve for x
    x = 129,374,847.60/12,254.50
  6. Step 6: Final answer
    x = 10,557.33

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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.