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Finding the Fourth Proportional to 13,728.96, 18,945.95 and 7,441.34

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Solution

The fourth proportional to 13,728.96, 18,945.95 and 7,441.34 is: 10,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.96 : 18,945.95 = 7,441.34 : x
  2. Step 2: Convert to fraction form
    13,728.96/18,945.95 = 7,441.34/x
  3. Step 3: Cross multiply
    13,728.96x = 18,945.95 × 7,441.34
  4. Step 4: Simplify right side
    13,728.96x = 140,983,123.64
  5. Step 5: Solve for x
    x = 140,983,123.64/13,728.96
  6. Step 6: Final answer
    x = 10,269.03

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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.