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Finding the Fourth Proportional to 13,852, 20,763.42 and 8,308.36

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Solution

The fourth proportional to 13,852, 20,763.42 and 8,308.36 is: 12,453.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852 : 20,763.42 = 8,308.36 : x
  2. Step 2: Convert to fraction form
    13,852/20,763.42 = 8,308.36/x
  3. Step 3: Cross multiply
    13,852x = 20,763.42 × 8,308.36
  4. Step 4: Simplify right side
    13,852x = 172,509,968.19
  5. Step 5: Solve for x
    x = 172,509,968.19/13,852
  6. Step 6: Final answer
    x = 12,453.79

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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.