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Finding the Fourth Proportional to 27,894.54, 41,832.91 and 9,170.25

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Solution

The fourth proportional to 27,894.54, 41,832.91 and 9,170.25 is: 13,752.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.54 : 41,832.91 = 9,170.25 : x
  2. Step 2: Convert to fraction form
    27,894.54/41,832.91 = 9,170.25/x
  3. Step 3: Cross multiply
    27,894.54x = 41,832.91 × 9,170.25
  4. Step 4: Simplify right side
    27,894.54x = 383,618,242.93
  5. Step 5: Solve for x
    x = 383,618,242.93/27,894.54
  6. Step 6: Final answer
    x = 13,752.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.