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Finding the Fourth Proportional to 27,731.54, 41,597.86 and 6,954.50

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Solution

The fourth proportional to 27,731.54, 41,597.86 and 6,954.50 is: 10,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,731.54 : 41,597.86 = 6,954.50 : x
  2. Step 2: Convert to fraction form
    27,731.54/41,597.86 = 6,954.50/x
  3. Step 3: Cross multiply
    27,731.54x = 41,597.86 × 6,954.50
  4. Step 4: Simplify right side
    27,731.54x = 289,292,317.37
  5. Step 5: Solve for x
    x = 289,292,317.37/27,731.54
  6. Step 6: Final answer
    x = 10,431.89

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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.