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Finding the Fourth Proportional to 14,589.78, 21,890.61 and 6,793.80

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Solution

The fourth proportional to 14,589.78, 21,890.61 and 6,793.80 is: 10,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.78 : 21,890.61 = 6,793.80 : x
  2. Step 2: Convert to fraction form
    14,589.78/21,890.61 = 6,793.80/x
  3. Step 3: Cross multiply
    14,589.78x = 21,890.61 × 6,793.80
  4. Step 4: Simplify right side
    14,589.78x = 148,720,426.22
  5. Step 5: Solve for x
    x = 148,720,426.22/14,589.78
  6. Step 6: Final answer
    x = 10,193.47

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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.