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Finding the Fourth Proportional to 21,137.72, 29,172 and 11,706.27

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Solution

The fourth proportional to 21,137.72, 29,172 and 11,706.27 is: 16,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.72 : 29,172 = 11,706.27 : x
  2. Step 2: Convert to fraction form
    21,137.72/29,172 = 11,706.27/x
  3. Step 3: Cross multiply
    21,137.72x = 29,172 × 11,706.27
  4. Step 4: Simplify right side
    21,137.72x = 341,495,308.44
  5. Step 5: Solve for x
    x = 341,495,308.44/21,137.72
  6. Step 6: Final answer
    x = 16,155.73

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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.