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Finding the Fourth Proportional to 20,657.27, 30,967.13 and 7,500.33

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Solution

The fourth proportional to 20,657.27, 30,967.13 and 7,500.33 is: 11,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.27 : 30,967.13 = 7,500.33 : x
  2. Step 2: Convert to fraction form
    20,657.27/30,967.13 = 7,500.33/x
  3. Step 3: Cross multiply
    20,657.27x = 30,967.13 × 7,500.33
  4. Step 4: Simplify right side
    20,657.27x = 232,263,656.65
  5. Step 5: Solve for x
    x = 232,263,656.65/20,657.27
  6. Step 6: Final answer
    x = 11,243.68

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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.