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Finding the Fourth Proportional to 12,262.86, 18,394.38 and 3,497.85

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Solution

The fourth proportional to 12,262.86, 18,394.38 and 3,497.85 is: 5,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.86 : 18,394.38 = 3,497.85 : x
  2. Step 2: Convert to fraction form
    12,262.86/18,394.38 = 3,497.85/x
  3. Step 3: Cross multiply
    12,262.86x = 18,394.38 × 3,497.85
  4. Step 4: Simplify right side
    12,262.86x = 64,340,782.08
  5. Step 5: Solve for x
    x = 64,340,782.08/12,262.86
  6. Step 6: Final answer
    x = 5,246.80

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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.