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Finding the Fourth Proportional to 14,578.66, 20,119.57 and 8,205.87

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Solution

The fourth proportional to 14,578.66, 20,119.57 and 8,205.87 is: 11,324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.66 : 20,119.57 = 8,205.87 : x
  2. Step 2: Convert to fraction form
    14,578.66/20,119.57 = 8,205.87/x
  3. Step 3: Cross multiply
    14,578.66x = 20,119.57 × 8,205.87
  4. Step 4: Simplify right side
    14,578.66x = 165,098,575.88
  5. Step 5: Solve for x
    x = 165,098,575.88/14,578.66
  6. Step 6: Final answer
    x = 11,324.67

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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.