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Finding the Fourth Proportional to 27,719.94, 41,560.92 and 9,950.20

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Solution

The fourth proportional to 27,719.94, 41,560.92 and 9,950.20 is: 14,918.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,719.94 : 41,560.92 = 9,950.20 : x
  2. Step 2: Convert to fraction form
    27,719.94/41,560.92 = 9,950.20/x
  3. Step 3: Cross multiply
    27,719.94x = 41,560.92 × 9,950.20
  4. Step 4: Simplify right side
    27,719.94x = 413,539,466.18
  5. Step 5: Solve for x
    x = 413,539,466.18/27,719.94
  6. Step 6: Final answer
    x = 14,918.48

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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.