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Finding the Fourth Proportional to 15,982.34, 23,944.71 and 8,578.94

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Solution

The fourth proportional to 15,982.34, 23,944.71 and 8,578.94 is: 12,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.34 : 23,944.71 = 8,578.94 : x
  2. Step 2: Convert to fraction form
    15,982.34/23,944.71 = 8,578.94/x
  3. Step 3: Cross multiply
    15,982.34x = 23,944.71 × 8,578.94
  4. Step 4: Simplify right side
    15,982.34x = 205,420,230.41
  5. Step 5: Solve for x
    x = 205,420,230.41/15,982.34
  6. Step 6: Final answer
    x = 12,852.95

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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.