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Finding the Fourth Proportional to 27,447.32, 41,171.44 and 7,726.35

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Solution

The fourth proportional to 27,447.32, 41,171.44 and 7,726.35 is: 11,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.32 : 41,171.44 = 7,726.35 : x
  2. Step 2: Convert to fraction form
    27,447.32/41,171.44 = 7,726.35/x
  3. Step 3: Cross multiply
    27,447.32x = 41,171.44 × 7,726.35
  4. Step 4: Simplify right side
    27,447.32x = 318,104,955.44
  5. Step 5: Solve for x
    x = 318,104,955.44/27,447.32
  6. Step 6: Final answer
    x = 11,589.65

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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.