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Finding the Fourth Proportional to 20,527.08, 30,794.96 and 6,675

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Solution

The fourth proportional to 20,527.08, 30,794.96 and 6,675 is: 10,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,527.08 : 30,794.96 = 6,675 : x
  2. Step 2: Convert to fraction form
    20,527.08/30,794.96 = 6,675/x
  3. Step 3: Cross multiply
    20,527.08x = 30,794.96 × 6,675
  4. Step 4: Simplify right side
    20,527.08x = 205,556,358
  5. Step 5: Solve for x
    x = 205,556,358/20,527.08
  6. Step 6: Final answer
    x = 10,013.91

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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.