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Finding the Fourth Proportional to 21,157.86, 29,196.84 and 12,208.24

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Solution

The fourth proportional to 21,157.86, 29,196.84 and 12,208.24 is: 16,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,157.86 : 29,196.84 = 12,208.24 : x
  2. Step 2: Convert to fraction form
    21,157.86/29,196.84 = 12,208.24/x
  3. Step 3: Cross multiply
    21,157.86x = 29,196.84 × 12,208.24
  4. Step 4: Simplify right side
    21,157.86x = 356,442,029.96
  5. Step 5: Solve for x
    x = 356,442,029.96/21,157.86
  6. Step 6: Final answer
    x = 16,846.79

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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.