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Finding the Fourth Proportional to 13,450.64, 20,172.31 and 5,657.63

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Solution

The fourth proportional to 13,450.64, 20,172.31 and 5,657.63 is: 8,484.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,450.64 : 20,172.31 = 5,657.63 : x
  2. Step 2: Convert to fraction form
    13,450.64/20,172.31 = 5,657.63/x
  3. Step 3: Cross multiply
    13,450.64x = 20,172.31 × 5,657.63
  4. Step 4: Simplify right side
    13,450.64x = 114,127,351.22
  5. Step 5: Solve for x
    x = 114,127,351.22/13,450.64
  6. Step 6: Final answer
    x = 8,484.90

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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.