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Finding the Fourth Proportional to 21,149.80, 29,186.34 and 12,197.68

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Solution

The fourth proportional to 21,149.80, 29,186.34 and 12,197.68 is: 16,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,149.80 : 29,186.34 = 12,197.68 : x
  2. Step 2: Convert to fraction form
    21,149.80/29,186.34 = 12,197.68/x
  3. Step 3: Cross multiply
    21,149.80x = 29,186.34 × 12,197.68
  4. Step 4: Simplify right side
    21,149.80x = 356,005,635.69
  5. Step 5: Solve for x
    x = 356,005,635.69/21,149.80
  6. Step 6: Final answer
    x = 16,832.58

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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.