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Finding the Fourth Proportional to 15,205.41, 20,986.97 and 8,919.81

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Solution

The fourth proportional to 15,205.41, 20,986.97 and 8,919.81 is: 12,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.41 : 20,986.97 = 8,919.81 : x
  2. Step 2: Convert to fraction form
    15,205.41/20,986.97 = 8,919.81/x
  3. Step 3: Cross multiply
    15,205.41x = 20,986.97 × 8,919.81
  4. Step 4: Simplify right side
    15,205.41x = 187,199,740.28
  5. Step 5: Solve for x
    x = 187,199,740.28/15,205.41
  6. Step 6: Final answer
    x = 12,311.39

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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.