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Finding the Fourth Proportional to 21,771.21, 30,049.20 and 13,276.20

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Solution

The fourth proportional to 21,771.21, 30,049.20 and 13,276.20 is: 18,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771.21 : 30,049.20 = 13,276.20 : x
  2. Step 2: Convert to fraction form
    21,771.21/30,049.20 = 13,276.20/x
  3. Step 3: Cross multiply
    21,771.21x = 30,049.20 × 13,276.20
  4. Step 4: Simplify right side
    21,771.21x = 398,939,189.04
  5. Step 5: Solve for x
    x = 398,939,189.04/21,771.21
  6. Step 6: Final answer
    x = 18,324.16

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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.