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Finding the Fourth Proportional to 13,744.24, 18,968.41 and 9,919.04

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Solution

The fourth proportional to 13,744.24, 18,968.41 and 9,919.04 is: 13,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.24 : 18,968.41 = 9,919.04 : x
  2. Step 2: Convert to fraction form
    13,744.24/18,968.41 = 9,919.04/x
  3. Step 3: Cross multiply
    13,744.24x = 18,968.41 × 9,919.04
  4. Step 4: Simplify right side
    13,744.24x = 188,148,345.31
  5. Step 5: Solve for x
    x = 188,148,345.31/13,744.24
  6. Step 6: Final answer
    x = 13,689.25

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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.