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Finding the Fourth Proportional to 27,794.82, 41,696.56 and 9,322.50

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Solution

The fourth proportional to 27,794.82, 41,696.56 and 9,322.50 is: 13,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794.82 : 41,696.56 = 9,322.50 : x
  2. Step 2: Convert to fraction form
    27,794.82/41,696.56 = 9,322.50/x
  3. Step 3: Cross multiply
    27,794.82x = 41,696.56 × 9,322.50
  4. Step 4: Simplify right side
    27,794.82x = 388,716,180.60
  5. Step 5: Solve for x
    x = 388,716,180.60/27,794.82
  6. Step 6: Final answer
    x = 13,985.20

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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.