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Finding the Fourth Proportional to 21,085.98, 29,100.39 and 11,656.38

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Solution

The fourth proportional to 21,085.98, 29,100.39 and 11,656.38 is: 16,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.98 : 29,100.39 = 11,656.38 : x
  2. Step 2: Convert to fraction form
    21,085.98/29,100.39 = 11,656.38/x
  3. Step 3: Cross multiply
    21,085.98x = 29,100.39 × 11,656.38
  4. Step 4: Simplify right side
    21,085.98x = 339,205,203.99
  5. Step 5: Solve for x
    x = 339,205,203.99/21,085.98
  6. Step 6: Final answer
    x = 16,086.76

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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.