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Finding the Fourth Proportional to 27,735.94, 41,599.99 and 9,016.25

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Solution

The fourth proportional to 27,735.94, 41,599.99 and 9,016.25 is: 13,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,735.94 : 41,599.99 = 9,016.25 : x
  2. Step 2: Convert to fraction form
    27,735.94/41,599.99 = 9,016.25/x
  3. Step 3: Cross multiply
    27,735.94x = 41,599.99 × 9,016.25
  4. Step 4: Simplify right side
    27,735.94x = 375,075,844.23
  5. Step 5: Solve for x
    x = 375,075,844.23/27,735.94
  6. Step 6: Final answer
    x = 13,523.10

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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.