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Finding the Fourth Proportional to 27,698.42, 41,522.99 and 10,164.15

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Solution

The fourth proportional to 27,698.42, 41,522.99 and 10,164.15 is: 15,237.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.42 : 41,522.99 = 10,164.15 : x
  2. Step 2: Convert to fraction form
    27,698.42/41,522.99 = 10,164.15/x
  3. Step 3: Cross multiply
    27,698.42x = 41,522.99 × 10,164.15
  4. Step 4: Simplify right side
    27,698.42x = 422,045,847.99
  5. Step 5: Solve for x
    x = 422,045,847.99/27,698.42
  6. Step 6: Final answer
    x = 15,237.18

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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.