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Finding the Fourth Proportional to 14,922, 20,589.12 and 8,634.24

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Solution

The fourth proportional to 14,922, 20,589.12 and 8,634.24 is: 11,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922 : 20,589.12 = 8,634.24 : x
  2. Step 2: Convert to fraction form
    14,922/20,589.12 = 8,634.24/x
  3. Step 3: Cross multiply
    14,922x = 20,589.12 × 8,634.24
  4. Step 4: Simplify right side
    14,922x = 177,771,403.47
  5. Step 5: Solve for x
    x = 177,771,403.47/14,922
  6. Step 6: Final answer
    x = 11,913.38

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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.