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Finding the Fourth Proportional to 23,611, 35,416.66 and 7,195

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Solution

The fourth proportional to 23,611, 35,416.66 and 7,195 is: 10,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611 : 35,416.66 = 7,195 : x
  2. Step 2: Convert to fraction form
    23,611/35,416.66 = 7,195/x
  3. Step 3: Cross multiply
    23,611x = 35,416.66 × 7,195
  4. Step 4: Simplify right side
    23,611x = 254,822,868.70
  5. Step 5: Solve for x
    x = 254,822,868.70/23,611
  6. Step 6: Final answer
    x = 10,792.55

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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.