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Finding the Fourth Proportional to 19,906.86, 29,794.66 and 11,008.50

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Solution

The fourth proportional to 19,906.86, 29,794.66 and 11,008.50 is: 16,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,906.86 : 29,794.66 = 11,008.50 : x
  2. Step 2: Convert to fraction form
    19,906.86/29,794.66 = 11,008.50/x
  3. Step 3: Cross multiply
    19,906.86x = 29,794.66 × 11,008.50
  4. Step 4: Simplify right side
    19,906.86x = 327,994,514.61
  5. Step 5: Solve for x
    x = 327,994,514.61/19,906.86
  6. Step 6: Final answer
    x = 16,476.46

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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.