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Finding the Fourth Proportional to 27,568.65, 41,335.21 and 11,783.98

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Solution

The fourth proportional to 27,568.65, 41,335.21 and 11,783.98 is: 17,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.65 : 41,335.21 = 11,783.98 : x
  2. Step 2: Convert to fraction form
    27,568.65/41,335.21 = 11,783.98/x
  3. Step 3: Cross multiply
    27,568.65x = 41,335.21 × 11,783.98
  4. Step 4: Simplify right side
    27,568.65x = 487,093,354.33
  5. Step 5: Solve for x
    x = 487,093,354.33/27,568.65
  6. Step 6: Final answer
    x = 17,668.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.