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Finding the Fourth Proportional to 14,362.11, 19,819.69 and 8,074.49

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Solution

The fourth proportional to 14,362.11, 19,819.69 and 8,074.49 is: 11,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.11 : 19,819.69 = 8,074.49 : x
  2. Step 2: Convert to fraction form
    14,362.11/19,819.69 = 8,074.49/x
  3. Step 3: Cross multiply
    14,362.11x = 19,819.69 × 8,074.49
  4. Step 4: Simplify right side
    14,362.11x = 160,033,769.42
  5. Step 5: Solve for x
    x = 160,033,769.42/14,362.11
  6. Step 6: Final answer
    x = 11,142.78

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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.