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Finding the Fourth Proportional to 20,329.72, 30,499.04 and 6,097.62

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Solution

The fourth proportional to 20,329.72, 30,499.04 and 6,097.62 is: 9,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,329.72 : 30,499.04 = 6,097.62 : x
  2. Step 2: Convert to fraction form
    20,329.72/30,499.04 = 6,097.62/x
  3. Step 3: Cross multiply
    20,329.72x = 30,499.04 × 6,097.62
  4. Step 4: Simplify right side
    20,329.72x = 185,971,556.28
  5. Step 5: Solve for x
    x = 185,971,556.28/20,329.72
  6. Step 6: Final answer
    x = 9,147.77

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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.