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Finding the Fourth Proportional to 21,615.36, 32,431.68 and 7,765.44

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Solution

The fourth proportional to 21,615.36, 32,431.68 and 7,765.44 is: 11,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.36 : 32,431.68 = 7,765.44 : x
  2. Step 2: Convert to fraction form
    21,615.36/32,431.68 = 7,765.44/x
  3. Step 3: Cross multiply
    21,615.36x = 32,431.68 × 7,765.44
  4. Step 4: Simplify right side
    21,615.36x = 251,846,265.14
  5. Step 5: Solve for x
    x = 251,846,265.14/21,615.36
  6. Step 6: Final answer
    x = 11,651.26

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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.