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Finding the Fourth Proportional to 16,874.84, 23,297.21 and 11,577.44

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Solution

The fourth proportional to 16,874.84, 23,297.21 and 11,577.44 is: 15,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.84 : 23,297.21 = 11,577.44 : x
  2. Step 2: Convert to fraction form
    16,874.84/23,297.21 = 11,577.44/x
  3. Step 3: Cross multiply
    16,874.84x = 23,297.21 × 11,577.44
  4. Step 4: Simplify right side
    16,874.84x = 269,721,876.57
  5. Step 5: Solve for x
    x = 269,721,876.57/16,874.84
  6. Step 6: Final answer
    x = 15,983.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.