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Finding the Fourth Proportional to 20,596.96, 30,854.22 and 9,488.44

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Solution

The fourth proportional to 20,596.96, 30,854.22 and 9,488.44 is: 14,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.96 : 30,854.22 = 9,488.44 : x
  2. Step 2: Convert to fraction form
    20,596.96/30,854.22 = 9,488.44/x
  3. Step 3: Cross multiply
    20,596.96x = 30,854.22 × 9,488.44
  4. Step 4: Simplify right side
    20,596.96x = 292,758,415.22
  5. Step 5: Solve for x
    x = 292,758,415.22/20,596.96
  6. Step 6: Final answer
    x = 14,213.67

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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.