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Finding the Fourth Proportional to 14,453.88, 19,941.38 and 8,786.86

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Solution

The fourth proportional to 14,453.88, 19,941.38 and 8,786.86 is: 12,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.88 : 19,941.38 = 8,786.86 : x
  2. Step 2: Convert to fraction form
    14,453.88/19,941.38 = 8,786.86/x
  3. Step 3: Cross multiply
    14,453.88x = 19,941.38 × 8,786.86
  4. Step 4: Simplify right side
    14,453.88x = 175,222,114.27
  5. Step 5: Solve for x
    x = 175,222,114.27/14,453.88
  6. Step 6: Final answer
    x = 12,122.84

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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.