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Finding the Fourth Proportional to 14,919.48, 20,589.35 and 8,205.39

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Solution

The fourth proportional to 14,919.48, 20,589.35 and 8,205.39 is: 11,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.48 : 20,589.35 = 8,205.39 : x
  2. Step 2: Convert to fraction form
    14,919.48/20,589.35 = 8,205.39/x
  3. Step 3: Cross multiply
    14,919.48x = 20,589.35 × 8,205.39
  4. Step 4: Simplify right side
    14,919.48x = 168,943,605.57
  5. Step 5: Solve for x
    x = 168,943,605.57/14,919.48
  6. Step 6: Final answer
    x = 11,323.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.