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Finding the Fourth Proportional to 19,806.81, 29,711.57 and 5,766.86

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Solution

The fourth proportional to 19,806.81, 29,711.57 and 5,766.86 is: 8,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.81 : 29,711.57 = 5,766.86 : x
  2. Step 2: Convert to fraction form
    19,806.81/29,711.57 = 5,766.86/x
  3. Step 3: Cross multiply
    19,806.81x = 29,711.57 × 5,766.86
  4. Step 4: Simplify right side
    19,806.81x = 171,342,287.18
  5. Step 5: Solve for x
    x = 171,342,287.18/19,806.81
  6. Step 6: Final answer
    x = 8,650.68

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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.