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Finding the Fourth Proportional to 20,558.58, 30,819 and 7,407.76

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Solution

The fourth proportional to 20,558.58, 30,819 and 7,407.76 is: 11,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558.58 : 30,819 = 7,407.76 : x
  2. Step 2: Convert to fraction form
    20,558.58/30,819 = 7,407.76/x
  3. Step 3: Cross multiply
    20,558.58x = 30,819 × 7,407.76
  4. Step 4: Simplify right side
    20,558.58x = 228,299,755.44
  5. Step 5: Solve for x
    x = 228,299,755.44/20,558.58
  6. Step 6: Final answer
    x = 11,104.84

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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.