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Finding the Fourth Proportional to 20,114.92, 30,175.26 and 6,265

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Solution

The fourth proportional to 20,114.92, 30,175.26 and 6,265 is: 9,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,114.92 : 30,175.26 = 6,265 : x
  2. Step 2: Convert to fraction form
    20,114.92/30,175.26 = 6,265/x
  3. Step 3: Cross multiply
    20,114.92x = 30,175.26 × 6,265
  4. Step 4: Simplify right side
    20,114.92x = 189,048,003.90
  5. Step 5: Solve for x
    x = 189,048,003.90/20,114.92
  6. Step 6: Final answer
    x = 9,398.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.