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Finding the Fourth Proportional to 15,981.84, 23,943.96 and 8,578.44

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Solution

The fourth proportional to 15,981.84, 23,943.96 and 8,578.44 is: 12,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981.84 : 23,943.96 = 8,578.44 : x
  2. Step 2: Convert to fraction form
    15,981.84/23,943.96 = 8,578.44/x
  3. Step 3: Cross multiply
    15,981.84x = 23,943.96 × 8,578.44
  4. Step 4: Simplify right side
    15,981.84x = 205,401,824.22
  5. Step 5: Solve for x
    x = 205,401,824.22/15,981.84
  6. Step 6: Final answer
    x = 12,852.20

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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.