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Finding the Fourth Proportional to 27,698.88, 41,523.50 and 10,164.64

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Solution

The fourth proportional to 27,698.88, 41,523.50 and 10,164.64 is: 15,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.88 : 41,523.50 = 10,164.64 : x
  2. Step 2: Convert to fraction form
    27,698.88/41,523.50 = 10,164.64/x
  3. Step 3: Cross multiply
    27,698.88x = 41,523.50 × 10,164.64
  4. Step 4: Simplify right side
    27,698.88x = 422,071,429.04
  5. Step 5: Solve for x
    x = 422,071,429.04/27,698.88
  6. Step 6: Final answer
    x = 15,237.85

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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.