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Finding the Fourth Proportional to 22,310.26, 33,461.80 and 6,511.58

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Solution

The fourth proportional to 22,310.26, 33,461.80 and 6,511.58 is: 9,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.26 : 33,461.80 = 6,511.58 : x
  2. Step 2: Convert to fraction form
    22,310.26/33,461.80 = 6,511.58/x
  3. Step 3: Cross multiply
    22,310.26x = 33,461.80 × 6,511.58
  4. Step 4: Simplify right side
    22,310.26x = 217,889,187.64
  5. Step 5: Solve for x
    x = 217,889,187.64/22,310.26
  6. Step 6: Final answer
    x = 9,766.32

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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.