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Finding the Fourth Proportional to 24,474, 33,774.15 and 13,296

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Solution

The fourth proportional to 24,474, 33,774.15 and 13,296 is: 18,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,474 : 33,774.15 = 13,296 : x
  2. Step 2: Convert to fraction form
    24,474/33,774.15 = 13,296/x
  3. Step 3: Cross multiply
    24,474x = 33,774.15 × 13,296
  4. Step 4: Simplify right side
    24,474x = 449,061,098.40
  5. Step 5: Solve for x
    x = 449,061,098.40/24,474
  6. Step 6: Final answer
    x = 18,348.50

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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.