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Finding the Fourth Proportional to 19,965.25, 27,551.91 and 11,013

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Solution

The fourth proportional to 19,965.25, 27,551.91 and 11,013 is: 15,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,965.25 : 27,551.91 = 11,013 : x
  2. Step 2: Convert to fraction form
    19,965.25/27,551.91 = 11,013/x
  3. Step 3: Cross multiply
    19,965.25x = 27,551.91 × 11,013
  4. Step 4: Simplify right side
    19,965.25x = 303,429,184.83
  5. Step 5: Solve for x
    x = 303,429,184.83/19,965.25
  6. Step 6: Final answer
    x = 15,197.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.