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Finding the Fourth Proportional to 20,519.22, 30,752.10 and 9,266.19

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Solution

The fourth proportional to 20,519.22, 30,752.10 and 9,266.19 is: 13,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,519.22 : 30,752.10 = 9,266.19 : x
  2. Step 2: Convert to fraction form
    20,519.22/30,752.10 = 9,266.19/x
  3. Step 3: Cross multiply
    20,519.22x = 30,752.10 × 9,266.19
  4. Step 4: Simplify right side
    20,519.22x = 284,954,801.50
  5. Step 5: Solve for x
    x = 284,954,801.50/20,519.22
  6. Step 6: Final answer
    x = 13,887.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.