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Finding the Fourth Proportional to 13,855.10, 19,119.78 and 7,805.36

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Solution

The fourth proportional to 13,855.10, 19,119.78 and 7,805.36 is: 10,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.10 : 19,119.78 = 7,805.36 : x
  2. Step 2: Convert to fraction form
    13,855.10/19,119.78 = 7,805.36/x
  3. Step 3: Cross multiply
    13,855.10x = 19,119.78 × 7,805.36
  4. Step 4: Simplify right side
    13,855.10x = 149,236,766.02
  5. Step 5: Solve for x
    x = 149,236,766.02/13,855.10
  6. Step 6: Final answer
    x = 10,771.25

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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.