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Finding the Fourth Proportional to 13,494, 20,240.96 and 10,379.56

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Solution

The fourth proportional to 13,494, 20,240.96 and 10,379.56 is: 15,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,494 : 20,240.96 = 10,379.56 : x
  2. Step 2: Convert to fraction form
    13,494/20,240.96 = 10,379.56/x
  3. Step 3: Cross multiply
    13,494x = 20,240.96 × 10,379.56
  4. Step 4: Simplify right side
    13,494x = 210,092,258.78
  5. Step 5: Solve for x
    x = 210,092,258.78/13,494
  6. Step 6: Final answer
    x = 15,569.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.