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Finding the Fourth Proportional to 27,894.66, 41,838.93 and 8,173.41

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Solution

The fourth proportional to 27,894.66, 41,838.93 and 8,173.41 is: 12,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,894.66 : 41,838.93 = 8,173.41 : x
  2. Step 2: Convert to fraction form
    27,894.66/41,838.93 = 8,173.41/x
  3. Step 3: Cross multiply
    27,894.66x = 41,838.93 × 8,173.41
  4. Step 4: Simplify right side
    27,894.66x = 341,966,728.85
  5. Step 5: Solve for x
    x = 341,966,728.85/27,894.66
  6. Step 6: Final answer
    x = 12,259.22

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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.