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Finding the Fourth Proportional to 22,511.56, 33,743.87 and 8,461.91

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Solution

The fourth proportional to 22,511.56, 33,743.87 and 8,461.91 is: 12,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,511.56 : 33,743.87 = 8,461.91 : x
  2. Step 2: Convert to fraction form
    22,511.56/33,743.87 = 8,461.91/x
  3. Step 3: Cross multiply
    22,511.56x = 33,743.87 × 8,461.91
  4. Step 4: Simplify right side
    22,511.56x = 285,537,569.97
  5. Step 5: Solve for x
    x = 285,537,569.97/22,511.56
  6. Step 6: Final answer
    x = 12,684.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.