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Finding the Fourth Proportional to 19,711, 29,566.50 and 5,860

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Solution

The fourth proportional to 19,711, 29,566.50 and 5,860 is: 8,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711 : 29,566.50 = 5,860 : x
  2. Step 2: Convert to fraction form
    19,711/29,566.50 = 5,860/x
  3. Step 3: Cross multiply
    19,711x = 29,566.50 × 5,860
  4. Step 4: Simplify right side
    19,711x = 173,259,690
  5. Step 5: Solve for x
    x = 173,259,690/19,711
  6. Step 6: Final answer
    x = 8,790

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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.