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Finding the Fourth Proportional to 13,015.35, 19,485.63 and 7,662.33

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Solution

The fourth proportional to 13,015.35, 19,485.63 and 7,662.33 is: 11,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.35 : 19,485.63 = 7,662.33 : x
  2. Step 2: Convert to fraction form
    13,015.35/19,485.63 = 7,662.33/x
  3. Step 3: Cross multiply
    13,015.35x = 19,485.63 × 7,662.33
  4. Step 4: Simplify right side
    13,015.35x = 149,305,327.32
  5. Step 5: Solve for x
    x = 149,305,327.32/13,015.35
  6. Step 6: Final answer
    x = 11,471.48

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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.