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Finding the Fourth Proportional to 27,710.49, 41,573.13 and 9,942.94

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Solution

The fourth proportional to 27,710.49, 41,573.13 and 9,942.94 is: 14,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.49 : 41,573.13 = 9,942.94 : x
  2. Step 2: Convert to fraction form
    27,710.49/41,573.13 = 9,942.94/x
  3. Step 3: Cross multiply
    27,710.49x = 41,573.13 × 9,942.94
  4. Step 4: Simplify right side
    27,710.49x = 413,359,137.20
  5. Step 5: Solve for x
    x = 413,359,137.20/27,710.49
  6. Step 6: Final answer
    x = 14,917.06

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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.