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Finding the Fourth Proportional to 20,511.09, 30,768.14 and 7,363.58

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Solution

The fourth proportional to 20,511.09, 30,768.14 and 7,363.58 is: 11,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.09 : 30,768.14 = 7,363.58 : x
  2. Step 2: Convert to fraction form
    20,511.09/30,768.14 = 7,363.58/x
  3. Step 3: Cross multiply
    20,511.09x = 30,768.14 × 7,363.58
  4. Step 4: Simplify right side
    20,511.09x = 226,563,524.91
  5. Step 5: Solve for x
    x = 226,563,524.91/20,511.09
  6. Step 6: Final answer
    x = 11,045.90

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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.