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Finding the Fourth Proportional to 13,744.06, 18,963.64 and 7,774.42

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Solution

The fourth proportional to 13,744.06, 18,963.64 and 7,774.42 is: 10,726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.06 : 18,963.64 = 7,774.42 : x
  2. Step 2: Convert to fraction form
    13,744.06/18,963.64 = 7,774.42/x
  3. Step 3: Cross multiply
    13,744.06x = 18,963.64 × 7,774.42
  4. Step 4: Simplify right side
    13,744.06x = 147,431,302.09
  5. Step 5: Solve for x
    x = 147,431,302.09/13,744.06
  6. Step 6: Final answer
    x = 10,726.91

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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.