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Finding the Fourth Proportional to 13,493.72, 20,234.10 and 7,648.76

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Solution

The fourth proportional to 13,493.72, 20,234.10 and 7,648.76 is: 11,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.72 : 20,234.10 = 7,648.76 : x
  2. Step 2: Convert to fraction form
    13,493.72/20,234.10 = 7,648.76/x
  3. Step 3: Cross multiply
    13,493.72x = 20,234.10 × 7,648.76
  4. Step 4: Simplify right side
    13,493.72x = 154,765,774.72
  5. Step 5: Solve for x
    x = 154,765,774.72/13,493.72
  6. Step 6: Final answer
    x = 11,469.47

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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.