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Finding the Fourth Proportional to 15,832.56, 23,759.66 and 8,442.21

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Solution

The fourth proportional to 15,832.56, 23,759.66 and 8,442.21 is: 12,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.56 : 23,759.66 = 8,442.21 : x
  2. Step 2: Convert to fraction form
    15,832.56/23,759.66 = 8,442.21/x
  3. Step 3: Cross multiply
    15,832.56x = 23,759.66 × 8,442.21
  4. Step 4: Simplify right side
    15,832.56x = 200,583,997.04
  5. Step 5: Solve for x
    x = 200,583,997.04/15,832.56
  6. Step 6: Final answer
    x = 12,669.08

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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.