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Finding the Fourth Proportional to 12,464.30, 18,652.55 and 7,786.51

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Solution

The fourth proportional to 12,464.30, 18,652.55 and 7,786.51 is: 11,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.30 : 18,652.55 = 7,786.51 : x
  2. Step 2: Convert to fraction form
    12,464.30/18,652.55 = 7,786.51/x
  3. Step 3: Cross multiply
    12,464.30x = 18,652.55 × 7,786.51
  4. Step 4: Simplify right side
    12,464.30x = 145,238,239.94
  5. Step 5: Solve for x
    x = 145,238,239.94/12,464.30
  6. Step 6: Final answer
    x = 11,652.34

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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.