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Finding the Fourth Proportional to 13,709.75, 18,919.03 and 7,741.06

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Solution

The fourth proportional to 13,709.75, 18,919.03 and 7,741.06 is: 10,682.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.75 : 18,919.03 = 7,741.06 : x
  2. Step 2: Convert to fraction form
    13,709.75/18,919.03 = 7,741.06/x
  3. Step 3: Cross multiply
    13,709.75x = 18,919.03 × 7,741.06
  4. Step 4: Simplify right side
    13,709.75x = 146,453,346.37
  5. Step 5: Solve for x
    x = 146,453,346.37/13,709.75
  6. Step 6: Final answer
    x = 10,682.42

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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.