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Finding the Fourth Proportional to 13,811.94, 19,060.98 and 7,843.45

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Solution

The fourth proportional to 13,811.94, 19,060.98 and 7,843.45 is: 10,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.94 : 19,060.98 = 7,843.45 : x
  2. Step 2: Convert to fraction form
    13,811.94/19,060.98 = 7,843.45/x
  3. Step 3: Cross multiply
    13,811.94x = 19,060.98 × 7,843.45
  4. Step 4: Simplify right side
    13,811.94x = 149,503,843.58
  5. Step 5: Solve for x
    x = 149,503,843.58/13,811.94
  6. Step 6: Final answer
    x = 10,824.25

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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.