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Finding the Fourth Proportional to 12,789.37, 17,643.65 and 7,481.84

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Solution

The fourth proportional to 12,789.37, 17,643.65 and 7,481.84 is: 10,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.37 : 17,643.65 = 7,481.84 : x
  2. Step 2: Convert to fraction form
    12,789.37/17,643.65 = 7,481.84/x
  3. Step 3: Cross multiply
    12,789.37x = 17,643.65 × 7,481.84
  4. Step 4: Simplify right side
    12,789.37x = 132,006,973.02
  5. Step 5: Solve for x
    x = 132,006,973.02/12,789.37
  6. Step 6: Final answer
    x = 10,321.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.