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Finding the Fourth Proportional to 21,202.75, 29,259.80 and 11,771.38

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Solution

The fourth proportional to 21,202.75, 29,259.80 and 11,771.38 is: 16,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,202.75 : 29,259.80 = 11,771.38 : x
  2. Step 2: Convert to fraction form
    21,202.75/29,259.80 = 11,771.38/x
  3. Step 3: Cross multiply
    21,202.75x = 29,259.80 × 11,771.38
  4. Step 4: Simplify right side
    21,202.75x = 344,428,224.52
  5. Step 5: Solve for x
    x = 344,428,224.52/21,202.75
  6. Step 6: Final answer
    x = 16,244.51

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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.