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Finding the Fourth Proportional to 23,112, 34,662.20 and 6,467.72

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Solution

The fourth proportional to 23,112, 34,662.20 and 6,467.72 is: 9,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,112 : 34,662.20 = 6,467.72 : x
  2. Step 2: Convert to fraction form
    23,112/34,662.20 = 6,467.72/x
  3. Step 3: Cross multiply
    23,112x = 34,662.20 × 6,467.72
  4. Step 4: Simplify right side
    23,112x = 224,185,198.53
  5. Step 5: Solve for x
    x = 224,185,198.53/23,112
  6. Step 6: Final answer
    x = 9,699.95

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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.