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Finding the Fourth Proportional to 12,679.97, 19,025.91 and 5,659.34

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Solution

The fourth proportional to 12,679.97, 19,025.91 and 5,659.34 is: 8,491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,679.97 : 19,025.91 = 5,659.34 : x
  2. Step 2: Convert to fraction form
    12,679.97/19,025.91 = 5,659.34/x
  3. Step 3: Cross multiply
    12,679.97x = 19,025.91 × 5,659.34
  4. Step 4: Simplify right side
    12,679.97x = 107,674,174.82
  5. Step 5: Solve for x
    x = 107,674,174.82/12,679.97
  6. Step 6: Final answer
    x = 8,491.68

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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.