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Finding the Fourth Proportional to 14,487.75, 19,993.19 and 8,519.67

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Solution

The fourth proportional to 14,487.75, 19,993.19 and 8,519.67 is: 11,757.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.75 : 19,993.19 = 8,519.67 : x
  2. Step 2: Convert to fraction form
    14,487.75/19,993.19 = 8,519.67/x
  3. Step 3: Cross multiply
    14,487.75x = 19,993.19 × 8,519.67
  4. Step 4: Simplify right side
    14,487.75x = 170,335,338.45
  5. Step 5: Solve for x
    x = 170,335,338.45/14,487.75
  6. Step 6: Final answer
    x = 11,757.20

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1.5x scale

Why These Related Problems?

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