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Finding the Fourth Proportional to 27,967.74, 41,950.25 and 10,436.20

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Solution

The fourth proportional to 27,967.74, 41,950.25 and 10,436.20 is: 15,653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,967.74 : 41,950.25 = 10,436.20 : x
  2. Step 2: Convert to fraction form
    27,967.74/41,950.25 = 10,436.20/x
  3. Step 3: Cross multiply
    27,967.74x = 41,950.25 × 10,436.20
  4. Step 4: Simplify right side
    27,967.74x = 437,801,287.75
  5. Step 5: Solve for x
    x = 437,801,287.75/27,967.74
  6. Step 6: Final answer
    x = 15,653.79

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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.