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Finding the Fourth Proportional to 27,567, 41,317.56 and 10,016.28

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Solution

The fourth proportional to 27,567, 41,317.56 and 10,016.28 is: 15,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 41,317.56 = 10,016.28 : x
  2. Step 2: Convert to fraction form
    27,567/41,317.56 = 10,016.28/x
  3. Step 3: Cross multiply
    27,567x = 41,317.56 × 10,016.28
  4. Step 4: Simplify right side
    27,567x = 413,848,249.88
  5. Step 5: Solve for x
    x = 413,848,249.88/27,567
  6. Step 6: Final answer
    x = 15,012.45

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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.