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Finding the Fourth Proportional to 29,906.86, 41,271.52 and 16,294.84

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Solution

The fourth proportional to 29,906.86, 41,271.52 and 16,294.84 is: 22,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,906.86 : 41,271.52 = 16,294.84 : x
  2. Step 2: Convert to fraction form
    29,906.86/41,271.52 = 16,294.84/x
  3. Step 3: Cross multiply
    29,906.86x = 41,271.52 × 16,294.84
  4. Step 4: Simplify right side
    29,906.86x = 672,512,814.96
  5. Step 5: Solve for x
    x = 672,512,814.96/29,906.86
  6. Step 6: Final answer
    x = 22,486.91

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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.