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Finding the Fourth Proportional to 12,262.96, 18,394.04 and 3,497.87

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Solution

The fourth proportional to 12,262.96, 18,394.04 and 3,497.87 is: 5,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.96 : 18,394.04 = 3,497.87 : x
  2. Step 2: Convert to fraction form
    12,262.96/18,394.04 = 3,497.87/x
  3. Step 3: Cross multiply
    12,262.96x = 18,394.04 × 3,497.87
  4. Step 4: Simplify right side
    12,262.96x = 64,339,960.69
  5. Step 5: Solve for x
    x = 64,339,960.69/12,262.96
  6. Step 6: Final answer
    x = 5,246.69

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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.