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Finding the Fourth Proportional to 13,634.80, 20,415.75 and 7,783.36

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Solution

The fourth proportional to 13,634.80, 20,415.75 and 7,783.36 is: 11,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.80 : 20,415.75 = 7,783.36 : x
  2. Step 2: Convert to fraction form
    13,634.80/20,415.75 = 7,783.36/x
  3. Step 3: Cross multiply
    13,634.80x = 20,415.75 × 7,783.36
  4. Step 4: Simplify right side
    13,634.80x = 158,903,131.92
  5. Step 5: Solve for x
    x = 158,903,131.92/13,634.80
  6. Step 6: Final answer
    x = 11,654.23

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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.