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Finding the Fourth Proportional to 13,805.75, 19,050.73 and 7,837.67

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Solution

The fourth proportional to 13,805.75, 19,050.73 and 7,837.67 is: 10,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,805.75 : 19,050.73 = 7,837.67 : x
  2. Step 2: Convert to fraction form
    13,805.75/19,050.73 = 7,837.67/x
  3. Step 3: Cross multiply
    13,805.75x = 19,050.73 × 7,837.67
  4. Step 4: Simplify right side
    13,805.75x = 149,313,335.00
  5. Step 5: Solve for x
    x = 149,313,335.00/13,805.75
  6. Step 6: Final answer
    x = 10,815.30

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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.