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Finding the Fourth Proportional to 22,468, 33,705.96 and 7,673.45

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Solution

The fourth proportional to 22,468, 33,705.96 and 7,673.45 is: 11,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468 : 33,705.96 = 7,673.45 : x
  2. Step 2: Convert to fraction form
    22,468/33,705.96 = 7,673.45/x
  3. Step 3: Cross multiply
    22,468x = 33,705.96 × 7,673.45
  4. Step 4: Simplify right side
    22,468x = 258,640,998.76
  5. Step 5: Solve for x
    x = 258,640,998.76/22,468
  6. Step 6: Final answer
    x = 11,511.53

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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.