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Finding the Fourth Proportional to 20,257.96, 30,328.09 and 11,798.67

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Solution

The fourth proportional to 20,257.96, 30,328.09 and 11,798.67 is: 17,663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.96 : 30,328.09 = 11,798.67 : x
  2. Step 2: Convert to fraction form
    20,257.96/30,328.09 = 11,798.67/x
  3. Step 3: Cross multiply
    20,257.96x = 30,328.09 × 11,798.67
  4. Step 4: Simplify right side
    20,257.96x = 357,831,125.64
  5. Step 5: Solve for x
    x = 357,831,125.64/20,257.96
  6. Step 6: Final answer
    x = 17,663.73

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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.