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Finding the Fourth Proportional to 21,628.82, 29,847.77 and 12,197.39

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Solution

The fourth proportional to 21,628.82, 29,847.77 and 12,197.39 is: 16,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,628.82 : 29,847.77 = 12,197.39 : x
  2. Step 2: Convert to fraction form
    21,628.82/29,847.77 = 12,197.39/x
  3. Step 3: Cross multiply
    21,628.82x = 29,847.77 × 12,197.39
  4. Step 4: Simplify right side
    21,628.82x = 364,064,681.09
  5. Step 5: Solve for x
    x = 364,064,681.09/21,628.82
  6. Step 6: Final answer
    x = 16,832.39

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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.