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Finding the Fourth Proportional to 12,269.38, 18,407.75 and 3,835.54

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Solution

The fourth proportional to 12,269.38, 18,407.75 and 3,835.54 is: 5,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,269.38 : 18,407.75 = 3,835.54 : x
  2. Step 2: Convert to fraction form
    12,269.38/18,407.75 = 3,835.54/x
  3. Step 3: Cross multiply
    12,269.38x = 18,407.75 × 3,835.54
  4. Step 4: Simplify right side
    12,269.38x = 70,603,550.22
  5. Step 5: Solve for x
    x = 70,603,550.22/12,269.38
  6. Step 6: Final answer
    x = 5,754.45

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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.