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Finding the Fourth Proportional to 27,745.32, 38,285.54 and 16,415.24

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Solution

The fourth proportional to 27,745.32, 38,285.54 and 16,415.24 is: 22,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.32 : 38,285.54 = 16,415.24 : x
  2. Step 2: Convert to fraction form
    27,745.32/38,285.54 = 16,415.24/x
  3. Step 3: Cross multiply
    27,745.32x = 38,285.54 × 16,415.24
  4. Step 4: Simplify right side
    27,745.32x = 628,466,327.63
  5. Step 5: Solve for x
    x = 628,466,327.63/27,745.32
  6. Step 6: Final answer
    x = 22,651.26

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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.