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Finding the Fourth Proportional to 20,504.21, 30,760.40 and 6,466.40

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Solution

The fourth proportional to 20,504.21, 30,760.40 and 6,466.40 is: 9,700.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.21 : 30,760.40 = 6,466.40 : x
  2. Step 2: Convert to fraction form
    20,504.21/30,760.40 = 6,466.40/x
  3. Step 3: Cross multiply
    20,504.21x = 30,760.40 × 6,466.40
  4. Step 4: Simplify right side
    20,504.21x = 198,909,028.28
  5. Step 5: Solve for x
    x = 198,909,028.28/20,504.21
  6. Step 6: Final answer
    x = 9,700.89

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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.