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Finding the Fourth Proportional to 13,811.99, 19,061.09 and 7,844.21

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Solution

The fourth proportional to 13,811.99, 19,061.09 and 7,844.21 is: 10,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.99 : 19,061.09 = 7,844.21 : x
  2. Step 2: Convert to fraction form
    13,811.99/19,061.09 = 7,844.21/x
  3. Step 3: Cross multiply
    13,811.99x = 19,061.09 × 7,844.21
  4. Step 4: Simplify right side
    13,811.99x = 149,519,058.26
  5. Step 5: Solve for x
    x = 149,519,058.26/13,811.99
  6. Step 6: Final answer
    x = 10,825.31

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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.