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Finding the Fourth Proportional to 13,917.08, 19,205.46 and 7,629.44

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Solution

The fourth proportional to 13,917.08, 19,205.46 and 7,629.44 is: 10,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.08 : 19,205.46 = 7,629.44 : x
  2. Step 2: Convert to fraction form
    13,917.08/19,205.46 = 7,629.44/x
  3. Step 3: Cross multiply
    13,917.08x = 19,205.46 × 7,629.44
  4. Step 4: Simplify right side
    13,917.08x = 146,526,904.74
  5. Step 5: Solve for x
    x = 146,526,904.74/13,917.08
  6. Step 6: Final answer
    x = 10,528.57

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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.