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Finding the Fourth Proportional to 24,284.38, 33,510.34 and 17,914.44

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Solution

The fourth proportional to 24,284.38, 33,510.34 and 17,914.44 is: 24,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.38 : 33,510.34 = 17,914.44 : x
  2. Step 2: Convert to fraction form
    24,284.38/33,510.34 = 17,914.44/x
  3. Step 3: Cross multiply
    24,284.38x = 33,510.34 × 17,914.44
  4. Step 4: Simplify right side
    24,284.38x = 600,318,975.31
  5. Step 5: Solve for x
    x = 600,318,975.31/24,284.38
  6. Step 6: Final answer
    x = 24,720.37

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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.