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Finding the Fourth Proportional to 27,539.12, 41,313.54 and 9,775.22

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Solution

The fourth proportional to 27,539.12, 41,313.54 and 9,775.22 is: 14,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539.12 : 41,313.54 = 9,775.22 : x
  2. Step 2: Convert to fraction form
    27,539.12/41,313.54 = 9,775.22/x
  3. Step 3: Cross multiply
    27,539.12x = 41,313.54 × 9,775.22
  4. Step 4: Simplify right side
    27,539.12x = 403,848,942.48
  5. Step 5: Solve for x
    x = 403,848,942.48/27,539.12
  6. Step 6: Final answer
    x = 14,664.56

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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.