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Finding the Fourth Proportional to 23,701, 35,548.66 and 6,172.20

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Solution

The fourth proportional to 23,701, 35,548.66 and 6,172.20 is: 9,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701 : 35,548.66 = 6,172.20 : x
  2. Step 2: Convert to fraction form
    23,701/35,548.66 = 6,172.20/x
  3. Step 3: Cross multiply
    23,701x = 35,548.66 × 6,172.20
  4. Step 4: Simplify right side
    23,701x = 219,413,439.25
  5. Step 5: Solve for x
    x = 219,413,439.25/23,701
  6. Step 6: Final answer
    x = 9,257.56

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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.