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Finding the Fourth Proportional to 20,885.96, 31,296.68 and 14,104.97

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Solution

The fourth proportional to 20,885.96, 31,296.68 and 14,104.97 is: 21,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.96 : 31,296.68 = 14,104.97 : x
  2. Step 2: Convert to fraction form
    20,885.96/31,296.68 = 14,104.97/x
  3. Step 3: Cross multiply
    20,885.96x = 31,296.68 × 14,104.97
  4. Step 4: Simplify right side
    20,885.96x = 441,438,648.47
  5. Step 5: Solve for x
    x = 441,438,648.47/20,885.96
  6. Step 6: Final answer
    x = 21,135.67

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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.