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Finding the Fourth Proportional to 12,343.30, 18,511.14 and 3,578.86

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Solution

The fourth proportional to 12,343.30, 18,511.14 and 3,578.86 is: 5,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,343.30 : 18,511.14 = 3,578.86 : x
  2. Step 2: Convert to fraction form
    12,343.30/18,511.14 = 3,578.86/x
  3. Step 3: Cross multiply
    12,343.30x = 18,511.14 × 3,578.86
  4. Step 4: Simplify right side
    12,343.30x = 66,248,778.50
  5. Step 5: Solve for x
    x = 66,248,778.50/12,343.30
  6. Step 6: Final answer
    x = 5,367.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.