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Finding the Fourth Proportional to 21,823.44, 32,714.84 and 7,962

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Solution

The fourth proportional to 21,823.44, 32,714.84 and 7,962 is: 11,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.44 : 32,714.84 = 7,962 : x
  2. Step 2: Convert to fraction form
    21,823.44/32,714.84 = 7,962/x
  3. Step 3: Cross multiply
    21,823.44x = 32,714.84 × 7,962
  4. Step 4: Simplify right side
    21,823.44x = 260,475,556.08
  5. Step 5: Solve for x
    x = 260,475,556.08/21,823.44
  6. Step 6: Final answer
    x = 11,935.59

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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.