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Finding the Fourth Proportional to 12,406.25, 18,612.41 and 6,169.20

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Solution

The fourth proportional to 12,406.25, 18,612.41 and 6,169.20 is: 9,255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.25 : 18,612.41 = 6,169.20 : x
  2. Step 2: Convert to fraction form
    12,406.25/18,612.41 = 6,169.20/x
  3. Step 3: Cross multiply
    12,406.25x = 18,612.41 × 6,169.20
  4. Step 4: Simplify right side
    12,406.25x = 114,823,679.77
  5. Step 5: Solve for x
    x = 114,823,679.77/12,406.25
  6. Step 6: Final answer
    x = 9,255.31

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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.