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Finding the Fourth Proportional to 21,077.88, 29,086.02 and 11,647.14

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Solution

The fourth proportional to 21,077.88, 29,086.02 and 11,647.14 is: 16,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.88 : 29,086.02 = 11,647.14 : x
  2. Step 2: Convert to fraction form
    21,077.88/29,086.02 = 11,647.14/x
  3. Step 3: Cross multiply
    21,077.88x = 29,086.02 × 11,647.14
  4. Step 4: Simplify right side
    21,077.88x = 338,768,946.98
  5. Step 5: Solve for x
    x = 338,768,946.98/21,077.88
  6. Step 6: Final answer
    x = 16,072.25

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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.