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Finding the Fourth Proportional to 13,813.11, 19,061.40 and 7,843.98

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Solution

The fourth proportional to 13,813.11, 19,061.40 and 7,843.98 is: 10,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.11 : 19,061.40 = 7,843.98 : x
  2. Step 2: Convert to fraction form
    13,813.11/19,061.40 = 7,843.98/x
  3. Step 3: Cross multiply
    13,813.11x = 19,061.40 × 7,843.98
  4. Step 4: Simplify right side
    13,813.11x = 149,517,240.37
  5. Step 5: Solve for x
    x = 149,517,240.37/13,813.11
  6. Step 6: Final answer
    x = 10,824.30

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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.