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Finding the Fourth Proportional to 13,917.74, 19,206.75 and 7,629.74

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Solution

The fourth proportional to 13,917.74, 19,206.75 and 7,629.74 is: 10,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.74 : 19,206.75 = 7,629.74 : x
  2. Step 2: Convert to fraction form
    13,917.74/19,206.75 = 7,629.74/x
  3. Step 3: Cross multiply
    13,917.74x = 19,206.75 × 7,629.74
  4. Step 4: Simplify right side
    13,917.74x = 146,542,508.75
  5. Step 5: Solve for x
    x = 146,542,508.75/13,917.74
  6. Step 6: Final answer
    x = 10,529.19

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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.