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Finding the Fourth Proportional to 13,703.75, 18,911.07 and 7,735.37

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Solution

The fourth proportional to 13,703.75, 18,911.07 and 7,735.37 is: 10,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.75 : 18,911.07 = 7,735.37 : x
  2. Step 2: Convert to fraction form
    13,703.75/18,911.07 = 7,735.37/x
  3. Step 3: Cross multiply
    13,703.75x = 18,911.07 × 7,735.37
  4. Step 4: Simplify right side
    13,703.75x = 146,284,123.55
  5. Step 5: Solve for x
    x = 146,284,123.55/13,703.75
  6. Step 6: Final answer
    x = 10,674.75

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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.