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Finding the Fourth Proportional to 12,986.70, 19,481.67 and 4,665.30

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Solution

The fourth proportional to 12,986.70, 19,481.67 and 4,665.30 is: 6,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.70 : 19,481.67 = 4,665.30 : x
  2. Step 2: Convert to fraction form
    12,986.70/19,481.67 = 4,665.30/x
  3. Step 3: Cross multiply
    12,986.70x = 19,481.67 × 4,665.30
  4. Step 4: Simplify right side
    12,986.70x = 90,887,835.05
  5. Step 5: Solve for x
    x = 90,887,835.05/12,986.70
  6. Step 6: Final answer
    x = 6,998.53

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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.