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Finding the Fourth Proportional to 14,546, 20,073.48 and 7,922

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Solution

The fourth proportional to 14,546, 20,073.48 and 7,922 is: 10,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546 : 20,073.48 = 7,922 : x
  2. Step 2: Convert to fraction form
    14,546/20,073.48 = 7,922/x
  3. Step 3: Cross multiply
    14,546x = 20,073.48 × 7,922
  4. Step 4: Simplify right side
    14,546x = 159,022,108.56
  5. Step 5: Solve for x
    x = 159,022,108.56/14,546
  6. Step 6: Final answer
    x = 10,932.36

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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.