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Finding the Fourth Proportional to 27,458.16, 41,175 and 8,734.68

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Solution

The fourth proportional to 27,458.16, 41,175 and 8,734.68 is: 13,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.16 : 41,175 = 8,734.68 : x
  2. Step 2: Convert to fraction form
    27,458.16/41,175 = 8,734.68/x
  3. Step 3: Cross multiply
    27,458.16x = 41,175 × 8,734.68
  4. Step 4: Simplify right side
    27,458.16x = 359,650,449
  5. Step 5: Solve for x
    x = 359,650,449/27,458.16
  6. Step 6: Final answer
    x = 13,098.13

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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.