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Finding the Fourth Proportional to 22,489.03, 33,730.98 and 7,696

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Solution

The fourth proportional to 22,489.03, 33,730.98 and 7,696 is: 11,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.03 : 33,730.98 = 7,696 : x
  2. Step 2: Convert to fraction form
    22,489.03/33,730.98 = 7,696/x
  3. Step 3: Cross multiply
    22,489.03x = 33,730.98 × 7,696
  4. Step 4: Simplify right side
    22,489.03x = 259,593,622.08
  5. Step 5: Solve for x
    x = 259,593,622.08/22,489.03
  6. Step 6: Final answer
    x = 11,543.12

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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.