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Finding the Fourth Proportional to 16,254.64, 22,418.32 and 11,217.68

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Solution

The fourth proportional to 16,254.64, 22,418.32 and 11,217.68 is: 15,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.64 : 22,418.32 = 11,217.68 : x
  2. Step 2: Convert to fraction form
    16,254.64/22,418.32 = 11,217.68/x
  3. Step 3: Cross multiply
    16,254.64x = 22,418.32 × 11,217.68
  4. Step 4: Simplify right side
    16,254.64x = 251,481,539.90
  5. Step 5: Solve for x
    x = 251,481,539.90/16,254.64
  6. Step 6: Final answer
    x = 15,471.37

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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.