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Finding the Fourth Proportional to 26,647.94, 39,964.95 and 7,922.94

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Solution

The fourth proportional to 26,647.94, 39,964.95 and 7,922.94 is: 11,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,647.94 : 39,964.95 = 7,922.94 : x
  2. Step 2: Convert to fraction form
    26,647.94/39,964.95 = 7,922.94/x
  3. Step 3: Cross multiply
    26,647.94x = 39,964.95 × 7,922.94
  4. Step 4: Simplify right side
    26,647.94x = 316,639,751.08
  5. Step 5: Solve for x
    x = 316,639,751.08/26,647.94
  6. Step 6: Final answer
    x = 11,882.33

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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.