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Finding the Fourth Proportional to 27,944.41, 41,907.73 and 9,220.96

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Solution

The fourth proportional to 27,944.41, 41,907.73 and 9,220.96 is: 13,828.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944.41 : 41,907.73 = 9,220.96 : x
  2. Step 2: Convert to fraction form
    27,944.41/41,907.73 = 9,220.96/x
  3. Step 3: Cross multiply
    27,944.41x = 41,907.73 × 9,220.96
  4. Step 4: Simplify right side
    27,944.41x = 386,429,426.58
  5. Step 5: Solve for x
    x = 386,429,426.58/27,944.41
  6. Step 6: Final answer
    x = 13,828.50

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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.