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Finding the Fourth Proportional to 27,696.64, 41,535.69 and 8,971.69

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Solution

The fourth proportional to 27,696.64, 41,535.69 and 8,971.69 is: 13,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696.64 : 41,535.69 = 8,971.69 : x
  2. Step 2: Convert to fraction form
    27,696.64/41,535.69 = 8,971.69/x
  3. Step 3: Cross multiply
    27,696.64x = 41,535.69 × 8,971.69
  4. Step 4: Simplify right side
    27,696.64x = 372,645,334.62
  5. Step 5: Solve for x
    x = 372,645,334.62/27,696.64
  6. Step 6: Final answer
    x = 13,454.53

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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.