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Finding the Fourth Proportional to 13,773.62, 19,008 and 7,805.09

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Solution

The fourth proportional to 13,773.62, 19,008 and 7,805.09 is: 10,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.62 : 19,008 = 7,805.09 : x
  2. Step 2: Convert to fraction form
    13,773.62/19,008 = 7,805.09/x
  3. Step 3: Cross multiply
    13,773.62x = 19,008 × 7,805.09
  4. Step 4: Simplify right side
    13,773.62x = 148,359,198.24
  5. Step 5: Solve for x
    x = 148,359,198.24/13,773.62
  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.