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Finding the Fourth Proportional to 13,634.25, 20,440.41 and 7,707.48

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Solution

The fourth proportional to 13,634.25, 20,440.41 and 7,707.48 is: 11,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.25 : 20,440.41 = 7,707.48 : x
  2. Step 2: Convert to fraction form
    13,634.25/20,440.41 = 7,707.48/x
  3. Step 3: Cross multiply
    13,634.25x = 20,440.41 × 7,707.48
  4. Step 4: Simplify right side
    13,634.25x = 157,544,051.27
  5. Step 5: Solve for x
    x = 157,544,051.27/13,634.25
  6. Step 6: Final answer
    x = 11,555.02

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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.