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Finding the Fourth Proportional to 24,167.50, 33,351.15 and 14,738.02

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Solution

The fourth proportional to 24,167.50, 33,351.15 and 14,738.02 is: 20,338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,167.50 : 33,351.15 = 14,738.02 : x
  2. Step 2: Convert to fraction form
    24,167.50/33,351.15 = 14,738.02/x
  3. Step 3: Cross multiply
    24,167.50x = 33,351.15 × 14,738.02
  4. Step 4: Simplify right side
    24,167.50x = 491,529,915.72
  5. Step 5: Solve for x
    x = 491,529,915.72/24,167.50
  6. Step 6: Final answer
    x = 20,338.47

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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.