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Finding the Fourth Proportional to 21,270.98, 29,355 and 11,839.34

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Solution

The fourth proportional to 21,270.98, 29,355 and 11,839.34 is: 16,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,270.98 : 29,355 = 11,839.34 : x
  2. Step 2: Convert to fraction form
    21,270.98/29,355 = 11,839.34/x
  3. Step 3: Cross multiply
    21,270.98x = 29,355 × 11,839.34
  4. Step 4: Simplify right side
    21,270.98x = 347,543,825.70
  5. Step 5: Solve for x
    x = 347,543,825.70/21,270.98
  6. Step 6: Final answer
    x = 16,338.87

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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.