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Finding the Fourth Proportional to 20,512.14, 30,768.21 and 7,365.30

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Solution

The fourth proportional to 20,512.14, 30,768.21 and 7,365.30 is: 11,047.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.14 : 30,768.21 = 7,365.30 : x
  2. Step 2: Convert to fraction form
    20,512.14/30,768.21 = 7,365.30/x
  3. Step 3: Cross multiply
    20,512.14x = 30,768.21 × 7,365.30
  4. Step 4: Simplify right side
    20,512.14x = 226,617,097.11
  5. Step 5: Solve for x
    x = 226,617,097.11/20,512.14
  6. Step 6: Final answer
    x = 11,047.95

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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.