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Finding the Fourth Proportional to 27,894.05, 41,841.08 and 8,172.61

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Solution

The fourth proportional to 27,894.05, 41,841.08 and 8,172.61 is: 12,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.05 : 41,841.08 = 8,172.61 : x
  2. Step 2: Convert to fraction form
    27,894.05/41,841.08 = 8,172.61/x
  3. Step 3: Cross multiply
    27,894.05x = 41,841.08 × 8,172.61
  4. Step 4: Simplify right side
    27,894.05x = 341,950,828.82
  5. Step 5: Solve for x
    x = 341,950,828.82/27,894.05
  6. Step 6: Final answer
    x = 12,258.92

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Why These Related Problems?

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