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Finding the Fourth Proportional to 20,701, 31,054.74 and 6,853.24

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Solution

The fourth proportional to 20,701, 31,054.74 and 6,853.24 is: 10,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,701 : 31,054.74 = 6,853.24 : x
  2. Step 2: Convert to fraction form
    20,701/31,054.74 = 6,853.24/x
  3. Step 3: Cross multiply
    20,701x = 31,054.74 × 6,853.24
  4. Step 4: Simplify right side
    20,701x = 212,825,586.36
  5. Step 5: Solve for x
    x = 212,825,586.36/20,701
  6. Step 6: Final answer
    x = 10,280.93

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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.