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Finding the Fourth Proportional to 20,896.92, 28,838.34 and 11,466.09

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Solution

The fourth proportional to 20,896.92, 28,838.34 and 11,466.09 is: 15,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,896.92 : 28,838.34 = 11,466.09 : x
  2. Step 2: Convert to fraction form
    20,896.92/28,838.34 = 11,466.09/x
  3. Step 3: Cross multiply
    20,896.92x = 28,838.34 × 11,466.09
  4. Step 4: Simplify right side
    20,896.92x = 330,663,001.89
  5. Step 5: Solve for x
    x = 330,663,001.89/20,896.92
  6. Step 6: Final answer
    x = 15,823.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.