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Finding the Fourth Proportional to 21,467.68, 32,212.86 and 11,077

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Solution

The fourth proportional to 21,467.68, 32,212.86 and 11,077 is: 16,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,467.68 : 32,212.86 = 11,077 : x
  2. Step 2: Convert to fraction form
    21,467.68/32,212.86 = 11,077/x
  3. Step 3: Cross multiply
    21,467.68x = 32,212.86 × 11,077
  4. Step 4: Simplify right side
    21,467.68x = 356,821,850.22
  5. Step 5: Solve for x
    x = 356,821,850.22/21,467.68
  6. Step 6: Final answer
    x = 16,621.35

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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.