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Finding the Fourth Proportional to 14,609.68, 20,163.22 and 9,578.14

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Solution

The fourth proportional to 14,609.68, 20,163.22 and 9,578.14 is: 13,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.68 : 20,163.22 = 9,578.14 : x
  2. Step 2: Convert to fraction form
    14,609.68/20,163.22 = 9,578.14/x
  3. Step 3: Cross multiply
    14,609.68x = 20,163.22 × 9,578.14
  4. Step 4: Simplify right side
    14,609.68x = 193,126,144.01
  5. Step 5: Solve for x
    x = 193,126,144.01/14,609.68
  6. Step 6: Final answer
    x = 13,219.05

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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.