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Finding the Fourth Proportional to 20,647.72, 28,494.16 and 11,695

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Solution

The fourth proportional to 20,647.72, 28,494.16 and 11,695 is: 16,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.72 : 28,494.16 = 11,695 : x
  2. Step 2: Convert to fraction form
    20,647.72/28,494.16 = 11,695/x
  3. Step 3: Cross multiply
    20,647.72x = 28,494.16 × 11,695
  4. Step 4: Simplify right side
    20,647.72x = 333,239,201.20
  5. Step 5: Solve for x
    x = 333,239,201.20/20,647.72
  6. Step 6: Final answer
    x = 16,139.27

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Why These Related Problems?

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