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Finding the Fourth Proportional to 20,450.90, 30,675.50 and 6,410.62

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Solution

The fourth proportional to 20,450.90, 30,675.50 and 6,410.62 is: 9,615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,450.90 : 30,675.50 = 6,410.62 : x
  2. Step 2: Convert to fraction form
    20,450.90/30,675.50 = 6,410.62/x
  3. Step 3: Cross multiply
    20,450.90x = 30,675.50 × 6,410.62
  4. Step 4: Simplify right side
    20,450.90x = 196,648,973.81
  5. Step 5: Solve for x
    x = 196,648,973.81/20,450.90
  6. Step 6: Final answer
    x = 9,615.66

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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.