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Finding the Fourth Proportional to 13,709.65, 18,919.37 and 7,422.02

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Solution

The fourth proportional to 13,709.65, 18,919.37 and 7,422.02 is: 10,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.65 : 18,919.37 = 7,422.02 : x
  2. Step 2: Convert to fraction form
    13,709.65/18,919.37 = 7,422.02/x
  3. Step 3: Cross multiply
    13,709.65x = 18,919.37 × 7,422.02
  4. Step 4: Simplify right side
    13,709.65x = 140,419,942.53
  5. Step 5: Solve for x
    x = 140,419,942.53/13,709.65
  6. Step 6: Final answer
    x = 10,242.42

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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.