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Finding the Fourth Proportional to 21,449.32, 32,121.82 and 14,857

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Solution

The fourth proportional to 21,449.32, 32,121.82 and 14,857 is: 22,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.32 : 32,121.82 = 14,857 : x
  2. Step 2: Convert to fraction form
    21,449.32/32,121.82 = 14,857/x
  3. Step 3: Cross multiply
    21,449.32x = 32,121.82 × 14,857
  4. Step 4: Simplify right side
    21,449.32x = 477,233,879.74
  5. Step 5: Solve for x
    x = 477,233,879.74/21,449.32
  6. Step 6: Final answer
    x = 22,249.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.