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Finding the Fourth Proportional to 27,693.85, 41,562.63 and 10,168.69

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Solution

The fourth proportional to 27,693.85, 41,562.63 and 10,168.69 is: 15,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,693.85 : 41,562.63 = 10,168.69 : x
  2. Step 2: Convert to fraction form
    27,693.85/41,562.63 = 10,168.69/x
  3. Step 3: Cross multiply
    27,693.85x = 41,562.63 × 10,168.69
  4. Step 4: Simplify right side
    27,693.85x = 422,637,500.05
  5. Step 5: Solve for x
    x = 422,637,500.05/27,693.85
  6. Step 6: Final answer
    x = 15,261.06

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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.