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Finding the Fourth Proportional to 20,145.75, 30,219.38 and 7,663.44

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Solution

The fourth proportional to 20,145.75, 30,219.38 and 7,663.44 is: 11,495.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.75 : 30,219.38 = 7,663.44 : x
  2. Step 2: Convert to fraction form
    20,145.75/30,219.38 = 7,663.44/x
  3. Step 3: Cross multiply
    20,145.75x = 30,219.38 × 7,663.44
  4. Step 4: Simplify right side
    20,145.75x = 231,584,509.21
  5. Step 5: Solve for x
    x = 231,584,509.21/20,145.75
  6. Step 6: Final answer
    x = 11,495.45

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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.