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Finding the Fourth Proportional to 12,174.83, 18,265.46 and 3,854.98

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Solution

The fourth proportional to 12,174.83, 18,265.46 and 3,854.98 is: 5,783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.83 : 18,265.46 = 3,854.98 : x
  2. Step 2: Convert to fraction form
    12,174.83/18,265.46 = 3,854.98/x
  3. Step 3: Cross multiply
    12,174.83x = 18,265.46 × 3,854.98
  4. Step 4: Simplify right side
    12,174.83x = 70,412,982.99
  5. Step 5: Solve for x
    x = 70,412,982.99/12,174.83
  6. Step 6: Final answer
    x = 5,783.49

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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.