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Finding the Fourth Proportional to 13,917.21, 19,206 and 7,629.54

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Solution

The fourth proportional to 13,917.21, 19,206 and 7,629.54 is: 10,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.21 : 19,206 = 7,629.54 : x
  2. Step 2: Convert to fraction form
    13,917.21/19,206 = 7,629.54/x
  3. Step 3: Cross multiply
    13,917.21x = 19,206 × 7,629.54
  4. Step 4: Simplify right side
    13,917.21x = 146,532,945.24
  5. Step 5: Solve for x
    x = 146,532,945.24/13,917.21
  6. Step 6: Final answer
    x = 10,528.90

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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.