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Finding the Fourth Proportional to 15,982.72, 23,982.28 and 6,629.65

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Solution

The fourth proportional to 15,982.72, 23,982.28 and 6,629.65 is: 9,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.72 : 23,982.28 = 6,629.65 : x
  2. Step 2: Convert to fraction form
    15,982.72/23,982.28 = 6,629.65/x
  3. Step 3: Cross multiply
    15,982.72x = 23,982.28 × 6,629.65
  4. Step 4: Simplify right side
    15,982.72x = 158,994,046.07
  5. Step 5: Solve for x
    x = 158,994,046.07/15,982.72
  6. Step 6: Final answer
    x = 9,947.87

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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.