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Finding the Fourth Proportional to 27,468.82, 37,906.77 and 14,893.48

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Solution

The fourth proportional to 27,468.82, 37,906.77 and 14,893.48 is: 20,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,468.82 : 37,906.77 = 14,893.48 : x
  2. Step 2: Convert to fraction form
    27,468.82/37,906.77 = 14,893.48/x
  3. Step 3: Cross multiply
    27,468.82x = 37,906.77 × 14,893.48
  4. Step 4: Simplify right side
    27,468.82x = 564,563,720.86
  5. Step 5: Solve for x
    x = 564,563,720.86/27,468.82
  6. Step 6: Final answer
    x = 20,552.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.