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Finding the Fourth Proportional to 27,907.39, 41,866.26 and 9,188.56

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Solution

The fourth proportional to 27,907.39, 41,866.26 and 9,188.56 is: 13,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.39 : 41,866.26 = 9,188.56 : x
  2. Step 2: Convert to fraction form
    27,907.39/41,866.26 = 9,188.56/x
  3. Step 3: Cross multiply
    27,907.39x = 41,866.26 × 9,188.56
  4. Step 4: Simplify right side
    27,907.39x = 384,690,641.99
  5. Step 5: Solve for x
    x = 384,690,641.99/27,907.39
  6. Step 6: Final answer
    x = 13,784.54

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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.