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Finding the Fourth Proportional to 24,450, 33,741.41 and 13,272

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Solution

The fourth proportional to 24,450, 33,741.41 and 13,272 is: 18,315.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450 : 33,741.41 = 13,272 : x
  2. Step 2: Convert to fraction form
    24,450/33,741.41 = 13,272/x
  3. Step 3: Cross multiply
    24,450x = 33,741.41 × 13,272
  4. Step 4: Simplify right side
    24,450x = 447,815,927.16
  5. Step 5: Solve for x
    x = 447,815,927.16/24,450
  6. Step 6: Final answer
    x = 18,315.58

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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.