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Finding the Fourth Proportional to 13,917.09, 19,205.50 and 7,629.46

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Solution

The fourth proportional to 13,917.09, 19,205.50 and 7,629.46 is: 10,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.09 : 19,205.50 = 7,629.46 : x
  2. Step 2: Convert to fraction form
    13,917.09/19,205.50 = 7,629.46/x
  3. Step 3: Cross multiply
    13,917.09x = 19,205.50 × 7,629.46
  4. Step 4: Simplify right side
    13,917.09x = 146,527,594.03
  5. Step 5: Solve for x
    x = 146,527,594.03/13,917.09
  6. Step 6: Final answer
    x = 10,528.61

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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.