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Finding the Fourth Proportional to 21,212.69, 31,806.83 and 8,741.32

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Solution

The fourth proportional to 21,212.69, 31,806.83 and 8,741.32 is: 13,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.69 : 31,806.83 = 8,741.32 : x
  2. Step 2: Convert to fraction form
    21,212.69/31,806.83 = 8,741.32/x
  3. Step 3: Cross multiply
    21,212.69x = 31,806.83 × 8,741.32
  4. Step 4: Simplify right side
    21,212.69x = 278,033,621.55
  5. Step 5: Solve for x
    x = 278,033,621.55/21,212.69
  6. Step 6: Final answer
    x = 13,106.95

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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.