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Finding the Fourth Proportional to 23,112, 34,673.76 and 6,696

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Solution

The fourth proportional to 23,112, 34,673.76 and 6,696 is: 10,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 34,673.76 = 6,696 : x
  2. Step 2: Convert to fraction form
    23,112/34,673.76 = 6,696/x
  3. Step 3: Cross multiply
    23,112x = 34,673.76 × 6,696
  4. Step 4: Simplify right side
    23,112x = 232,175,496.96
  5. Step 5: Solve for x
    x = 232,175,496.96/23,112
  6. Step 6: Final answer
    x = 10,045.67

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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.