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Finding the Fourth Proportional to 12,353.14, 18,532.23 and 3,587.86

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Solution

The fourth proportional to 12,353.14, 18,532.23 and 3,587.86 is: 5,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,353.14 : 18,532.23 = 3,587.86 : x
  2. Step 2: Convert to fraction form
    12,353.14/18,532.23 = 3,587.86/x
  3. Step 3: Cross multiply
    12,353.14x = 18,532.23 × 3,587.86
  4. Step 4: Simplify right side
    12,353.14x = 66,491,046.73
  5. Step 5: Solve for x
    x = 66,491,046.73/12,353.14
  6. Step 6: Final answer
    x = 5,382.52

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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.