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Finding the Fourth Proportional to 14,609.80, 20,163.38 and 9,578.26

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Solution

The fourth proportional to 14,609.80, 20,163.38 and 9,578.26 is: 13,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.80 : 20,163.38 = 9,578.26 : x
  2. Step 2: Convert to fraction form
    14,609.80/20,163.38 = 9,578.26/x
  3. Step 3: Cross multiply
    14,609.80x = 20,163.38 × 9,578.26
  4. Step 4: Simplify right side
    14,609.80x = 193,130,096.12
  5. Step 5: Solve for x
    x = 193,130,096.12/14,609.80
  6. Step 6: Final answer
    x = 13,219.22

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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.