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Finding the Fourth Proportional to 15,976.84, 23,968.11 and 6,611.78

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Solution

The fourth proportional to 15,976.84, 23,968.11 and 6,611.78 is: 9,918.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.84 : 23,968.11 = 6,611.78 : x
  2. Step 2: Convert to fraction form
    15,976.84/23,968.11 = 6,611.78/x
  3. Step 3: Cross multiply
    15,976.84x = 23,968.11 × 6,611.78
  4. Step 4: Simplify right side
    15,976.84x = 158,471,870.34
  5. Step 5: Solve for x
    x = 158,471,870.34/15,976.84
  6. Step 6: Final answer
    x = 9,918.85

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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.