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Finding the Fourth Proportional to 12,142.77, 18,196.43 and 5,380.20

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Solution

The fourth proportional to 12,142.77, 18,196.43 and 5,380.20 is: 8,062.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.77 : 18,196.43 = 5,380.20 : x
  2. Step 2: Convert to fraction form
    12,142.77/18,196.43 = 5,380.20/x
  3. Step 3: Cross multiply
    12,142.77x = 18,196.43 × 5,380.20
  4. Step 4: Simplify right side
    12,142.77x = 97,900,341.70
  5. Step 5: Solve for x
    x = 97,900,341.70/12,142.77
  6. Step 6: Final answer
    x = 8,062.44

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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.