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Finding the Fourth Proportional to 27,444.36, 41,169 and 7,723.08

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Solution

The fourth proportional to 27,444.36, 41,169 and 7,723.08 is: 11,585.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,444.36 : 41,169 = 7,723.08 : x
  2. Step 2: Convert to fraction form
    27,444.36/41,169 = 7,723.08/x
  3. Step 3: Cross multiply
    27,444.36x = 41,169 × 7,723.08
  4. Step 4: Simplify right side
    27,444.36x = 317,951,480.52
  5. Step 5: Solve for x
    x = 317,951,480.52/27,444.36
  6. Step 6: Final answer
    x = 11,585.31

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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.