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Finding the Fourth Proportional to 21,431.54, 32,147.31 and 5,849.16

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Solution

The fourth proportional to 21,431.54, 32,147.31 and 5,849.16 is: 8,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,431.54 : 32,147.31 = 5,849.16 : x
  2. Step 2: Convert to fraction form
    21,431.54/32,147.31 = 5,849.16/x
  3. Step 3: Cross multiply
    21,431.54x = 32,147.31 × 5,849.16
  4. Step 4: Simplify right side
    21,431.54x = 188,034,759.76
  5. Step 5: Solve for x
    x = 188,034,759.76/21,431.54
  6. Step 6: Final answer
    x = 8,773.74

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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.