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Finding the Fourth Proportional to 20,530.26, 30,796.92 and 7,382.70

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Solution

The fourth proportional to 20,530.26, 30,796.92 and 7,382.70 is: 11,074.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.26 : 30,796.92 = 7,382.70 : x
  2. Step 2: Convert to fraction form
    20,530.26/30,796.92 = 7,382.70/x
  3. Step 3: Cross multiply
    20,530.26x = 30,796.92 × 7,382.70
  4. Step 4: Simplify right side
    20,530.26x = 227,364,421.28
  5. Step 5: Solve for x
    x = 227,364,421.28/20,530.26
  6. Step 6: Final answer
    x = 11,074.60

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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.