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Finding the Fourth Proportional to 13,751.36, 18,976.91 and 7,463.75

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Solution

The fourth proportional to 13,751.36, 18,976.91 and 7,463.75 is: 10,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.36 : 18,976.91 = 7,463.75 : x
  2. Step 2: Convert to fraction form
    13,751.36/18,976.91 = 7,463.75/x
  3. Step 3: Cross multiply
    13,751.36x = 18,976.91 × 7,463.75
  4. Step 4: Simplify right side
    13,751.36x = 141,638,922.14
  5. Step 5: Solve for x
    x = 141,638,922.14/13,751.36
  6. Step 6: Final answer
    x = 10,299.99

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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.