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Finding the Fourth Proportional to 12,103.34, 18,157.12 and 3,781.23

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Solution

The fourth proportional to 12,103.34, 18,157.12 and 3,781.23 is: 5,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.34 : 18,157.12 = 3,781.23 : x
  2. Step 2: Convert to fraction form
    12,103.34/18,157.12 = 3,781.23/x
  3. Step 3: Cross multiply
    12,103.34x = 18,157.12 × 3,781.23
  4. Step 4: Simplify right side
    12,103.34x = 68,656,237.40
  5. Step 5: Solve for x
    x = 68,656,237.40/12,103.34
  6. Step 6: Final answer
    x = 5,672.50

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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.