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Finding the Fourth Proportional to 15,511.62, 21,406.26 and 8,438.16

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Solution

The fourth proportional to 15,511.62, 21,406.26 and 8,438.16 is: 11,644.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,511.62 : 21,406.26 = 8,438.16 : x
  2. Step 2: Convert to fraction form
    15,511.62/21,406.26 = 8,438.16/x
  3. Step 3: Cross multiply
    15,511.62x = 21,406.26 × 8,438.16
  4. Step 4: Simplify right side
    15,511.62x = 180,629,446.88
  5. Step 5: Solve for x
    x = 180,629,446.88/15,511.62
  6. Step 6: Final answer
    x = 11,644.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.