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Finding the Fourth Proportional to 13,008.33, 17,947.31 and 7,967.30

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Solution

The fourth proportional to 13,008.33, 17,947.31 and 7,967.30 is: 10,992.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.33 : 17,947.31 = 7,967.30 : x
  2. Step 2: Convert to fraction form
    13,008.33/17,947.31 = 7,967.30/x
  3. Step 3: Cross multiply
    13,008.33x = 17,947.31 × 7,967.30
  4. Step 4: Simplify right side
    13,008.33x = 142,991,473.39
  5. Step 5: Solve for x
    x = 142,991,473.39/13,008.33
  6. Step 6: Final answer
    x = 10,992.30

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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.