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Finding the Fourth Proportional to 27,892.41, 41,836.50 and 9,173.07

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Solution

The fourth proportional to 27,892.41, 41,836.50 and 9,173.07 is: 13,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.41 : 41,836.50 = 9,173.07 : x
  2. Step 2: Convert to fraction form
    27,892.41/41,836.50 = 9,173.07/x
  3. Step 3: Cross multiply
    27,892.41x = 41,836.50 × 9,173.07
  4. Step 4: Simplify right side
    27,892.41x = 383,769,143.06
  5. Step 5: Solve for x
    x = 383,769,143.06/27,892.41
  6. Step 6: Final answer
    x = 13,758.91

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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.