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Finding the Fourth Proportional to 12,262.69, 18,392.67 and 3,497.38

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Solution

The fourth proportional to 12,262.69, 18,392.67 and 3,497.38 is: 5,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.69 : 18,392.67 = 3,497.38 : x
  2. Step 2: Convert to fraction form
    12,262.69/18,392.67 = 3,497.38/x
  3. Step 3: Cross multiply
    12,262.69x = 18,392.67 × 3,497.38
  4. Step 4: Simplify right side
    12,262.69x = 64,326,110.22
  5. Step 5: Solve for x
    x = 64,326,110.22/12,262.69
  6. Step 6: Final answer
    x = 5,245.68

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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.