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Finding the Fourth Proportional to 13,945.97, 20,913.50 and 5,059.19

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Solution

The fourth proportional to 13,945.97, 20,913.50 and 5,059.19 is: 7,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945.97 : 20,913.50 = 5,059.19 : x
  2. Step 2: Convert to fraction form
    13,945.97/20,913.50 = 5,059.19/x
  3. Step 3: Cross multiply
    13,945.97x = 20,913.50 × 5,059.19
  4. Step 4: Simplify right side
    13,945.97x = 105,805,370.07
  5. Step 5: Solve for x
    x = 105,805,370.07/13,945.97
  6. Step 6: Final answer
    x = 7,586.81

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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.