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Finding the Fourth Proportional to 27,841.77, 41,758.41 and 9,123.75

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Solution

The fourth proportional to 27,841.77, 41,758.41 and 9,123.75 is: 13,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.77 : 41,758.41 = 9,123.75 : x
  2. Step 2: Convert to fraction form
    27,841.77/41,758.41 = 9,123.75/x
  3. Step 3: Cross multiply
    27,841.77x = 41,758.41 × 9,123.75
  4. Step 4: Simplify right side
    27,841.77x = 380,993,293.24
  5. Step 5: Solve for x
    x = 380,993,293.24/27,841.77
  6. Step 6: Final answer
    x = 13,684.23

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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.