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Finding the Fourth Proportional to 27,441.54, 41,162.31 and 7,720.09

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Solution

The fourth proportional to 27,441.54, 41,162.31 and 7,720.09 is: 11,580.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441.54 : 41,162.31 = 7,720.09 : x
  2. Step 2: Convert to fraction form
    27,441.54/41,162.31 = 7,720.09/x
  3. Step 3: Cross multiply
    27,441.54x = 41,162.31 × 7,720.09
  4. Step 4: Simplify right side
    27,441.54x = 317,776,705.66
  5. Step 5: Solve for x
    x = 317,776,705.66/27,441.54
  6. Step 6: Final answer
    x = 11,580.13

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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.