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Finding the Fourth Proportional to 19,377.75, 29,066.43 and 12,833.22

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Solution

The fourth proportional to 19,377.75, 29,066.43 and 12,833.22 is: 19,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,377.75 : 29,066.43 = 12,833.22 : x
  2. Step 2: Convert to fraction form
    19,377.75/29,066.43 = 12,833.22/x
  3. Step 3: Cross multiply
    19,377.75x = 29,066.43 × 12,833.22
  4. Step 4: Simplify right side
    19,377.75x = 373,015,890.80
  5. Step 5: Solve for x
    x = 373,015,890.80/19,377.75
  6. Step 6: Final answer
    x = 19,249.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.