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Finding the Fourth Proportional to 27,454.16, 41,169 and 8,730.68

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Solution

The fourth proportional to 27,454.16, 41,169 and 8,730.68 is: 13,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,454.16 : 41,169 = 8,730.68 : x
  2. Step 2: Convert to fraction form
    27,454.16/41,169 = 8,730.68/x
  3. Step 3: Cross multiply
    27,454.16x = 41,169 × 8,730.68
  4. Step 4: Simplify right side
    27,454.16x = 359,433,364.92
  5. Step 5: Solve for x
    x = 359,433,364.92/27,454.16
  6. Step 6: Final answer
    x = 13,092.13

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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.