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Finding the Fourth Proportional to 23,884.27, 35,826.49 and 7,244.45

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Solution

The fourth proportional to 23,884.27, 35,826.49 and 7,244.45 is: 10,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.27 : 35,826.49 = 7,244.45 : x
  2. Step 2: Convert to fraction form
    23,884.27/35,826.49 = 7,244.45/x
  3. Step 3: Cross multiply
    23,884.27x = 35,826.49 × 7,244.45
  4. Step 4: Simplify right side
    23,884.27x = 259,543,000.13
  5. Step 5: Solve for x
    x = 259,543,000.13/23,884.27
  6. Step 6: Final answer
    x = 10,866.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.