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Finding the Fourth Proportional to 20,338.26, 30,505.56 and 7,189.98

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Solution

The fourth proportional to 20,338.26, 30,505.56 and 7,189.98 is: 10,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.26 : 30,505.56 = 7,189.98 : x
  2. Step 2: Convert to fraction form
    20,338.26/30,505.56 = 7,189.98/x
  3. Step 3: Cross multiply
    20,338.26x = 30,505.56 × 7,189.98
  4. Step 4: Simplify right side
    20,338.26x = 219,334,366.29
  5. Step 5: Solve for x
    x = 219,334,366.29/20,338.26
  6. Step 6: Final answer
    x = 10,784.32

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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.