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Finding the Fourth Proportional to 23,338, 35,012.76 and 6,922

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Solution

The fourth proportional to 23,338, 35,012.76 and 6,922 is: 10,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,338 : 35,012.76 = 6,922 : x
  2. Step 2: Convert to fraction form
    23,338/35,012.76 = 6,922/x
  3. Step 3: Cross multiply
    23,338x = 35,012.76 × 6,922
  4. Step 4: Simplify right side
    23,338x = 242,358,324.72
  5. Step 5: Solve for x
    x = 242,358,324.72/23,338
  6. Step 6: Final answer
    x = 10,384.71

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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.