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Finding the Fourth Proportional to 18,333.50, 25,299.69 and 9,950

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Solution

The fourth proportional to 18,333.50, 25,299.69 and 9,950 is: 13,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,333.50 : 25,299.69 = 9,950 : x
  2. Step 2: Convert to fraction form
    18,333.50/25,299.69 = 9,950/x
  3. Step 3: Cross multiply
    18,333.50x = 25,299.69 × 9,950
  4. Step 4: Simplify right side
    18,333.50x = 251,731,915.50
  5. Step 5: Solve for x
    x = 251,731,915.50/18,333.50
  6. Step 6: Final answer
    x = 13,730.71

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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.