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Finding the Fourth Proportional to 27,629.37, 38,128.77 and 15,692.94

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Solution

The fourth proportional to 27,629.37, 38,128.77 and 15,692.94 is: 21,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,629.37 : 38,128.77 = 15,692.94 : x
  2. Step 2: Convert to fraction form
    27,629.37/38,128.77 = 15,692.94/x
  3. Step 3: Cross multiply
    27,629.37x = 38,128.77 × 15,692.94
  4. Step 4: Simplify right side
    27,629.37x = 598,352,499.88
  5. Step 5: Solve for x
    x = 598,352,499.88/27,629.37
  6. Step 6: Final answer
    x = 21,656.39

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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.