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Finding the Fourth Proportional to 12,679.65, 19,009.44 and 6,433.92

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Solution

The fourth proportional to 12,679.65, 19,009.44 and 6,433.92 is: 9,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.65 : 19,009.44 = 6,433.92 : x
  2. Step 2: Convert to fraction form
    12,679.65/19,009.44 = 6,433.92/x
  3. Step 3: Cross multiply
    12,679.65x = 19,009.44 × 6,433.92
  4. Step 4: Simplify right side
    12,679.65x = 122,305,216.20
  5. Step 5: Solve for x
    x = 122,305,216.20/12,679.65
  6. Step 6: Final answer
    x = 9,645.79

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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.