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Finding the Fourth Proportional to 12,465.54, 18,698.20 and 3,105.49

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Solution

The fourth proportional to 12,465.54, 18,698.20 and 3,105.49 is: 4,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.54 : 18,698.20 = 3,105.49 : x
  2. Step 2: Convert to fraction form
    12,465.54/18,698.20 = 3,105.49/x
  3. Step 3: Cross multiply
    12,465.54x = 18,698.20 × 3,105.49
  4. Step 4: Simplify right side
    12,465.54x = 58,067,073.12
  5. Step 5: Solve for x
    x = 58,067,073.12/12,465.54
  6. Step 6: Final answer
    x = 4,658.21

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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.