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Finding the Fourth Proportional to 12,464.26, 18,652.51 and 7,786.47

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Solution

The fourth proportional to 12,464.26, 18,652.51 and 7,786.47 is: 11,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.26 : 18,652.51 = 7,786.47 : x
  2. Step 2: Convert to fraction form
    12,464.26/18,652.51 = 7,786.47/x
  3. Step 3: Cross multiply
    12,464.26x = 18,652.51 × 7,786.47
  4. Step 4: Simplify right side
    12,464.26x = 145,237,209.54
  5. Step 5: Solve for x
    x = 145,237,209.54/12,464.26
  6. Step 6: Final answer
    x = 11,652.29

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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.