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Finding the Fourth Proportional to 20,506.68, 30,765.42 and 6,467.22

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Solution

The fourth proportional to 20,506.68, 30,765.42 and 6,467.22 is: 9,702.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.68 : 30,765.42 = 6,467.22 : x
  2. Step 2: Convert to fraction form
    20,506.68/30,765.42 = 6,467.22/x
  3. Step 3: Cross multiply
    20,506.68x = 30,765.42 × 6,467.22
  4. Step 4: Simplify right side
    20,506.68x = 198,966,739.53
  5. Step 5: Solve for x
    x = 198,966,739.53/20,506.68
  6. Step 6: Final answer
    x = 9,702.53

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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.