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Finding the Fourth Proportional to 13,709.37, 18,920.61 and 7,741.29

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Solution

The fourth proportional to 13,709.37, 18,920.61 and 7,741.29 is: 10,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.37 : 18,920.61 = 7,741.29 : x
  2. Step 2: Convert to fraction form
    13,709.37/18,920.61 = 7,741.29/x
  3. Step 3: Cross multiply
    13,709.37x = 18,920.61 × 7,741.29
  4. Step 4: Simplify right side
    13,709.37x = 146,469,928.99
  5. Step 5: Solve for x
    x = 146,469,928.99/13,709.37
  6. Step 6: Final answer
    x = 10,683.93

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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.