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Finding the Fourth Proportional to 19,942.60, 29,913.90 and 12,166.60

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Solution

The fourth proportional to 19,942.60, 29,913.90 and 12,166.60 is: 18,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942.60 : 29,913.90 = 12,166.60 : x
  2. Step 2: Convert to fraction form
    19,942.60/29,913.90 = 12,166.60/x
  3. Step 3: Cross multiply
    19,942.60x = 29,913.90 × 12,166.60
  4. Step 4: Simplify right side
    19,942.60x = 363,950,455.74
  5. Step 5: Solve for x
    x = 363,950,455.74/19,942.60
  6. Step 6: Final answer
    x = 18,249.90

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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.