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Finding the Fourth Proportional to 14,969.76, 22,439.76 and 8,401.44

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Solution

The fourth proportional to 14,969.76, 22,439.76 and 8,401.44 is: 12,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.76 : 22,439.76 = 8,401.44 : x
  2. Step 2: Convert to fraction form
    14,969.76/22,439.76 = 8,401.44/x
  3. Step 3: Cross multiply
    14,969.76x = 22,439.76 × 8,401.44
  4. Step 4: Simplify right side
    14,969.76x = 188,526,297.25
  5. Step 5: Solve for x
    x = 188,526,297.25/14,969.76
  6. Step 6: Final answer
    x = 12,593.81

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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.