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Finding the Fourth Proportional to 27,016.94, 40,544.44 and 9,488.14

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Solution

The fourth proportional to 27,016.94, 40,544.44 and 9,488.14 is: 14,238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016.94 : 40,544.44 = 9,488.14 : x
  2. Step 2: Convert to fraction form
    27,016.94/40,544.44 = 9,488.14/x
  3. Step 3: Cross multiply
    27,016.94x = 40,544.44 × 9,488.14
  4. Step 4: Simplify right side
    27,016.94x = 384,691,322.94
  5. Step 5: Solve for x
    x = 384,691,322.94/27,016.94
  6. Step 6: Final answer
    x = 14,238.89

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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.