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Finding the Fourth Proportional to 23,745.62, 35,605.28 and 9,715.50

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Solution

The fourth proportional to 23,745.62, 35,605.28 and 9,715.50 is: 14,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,745.62 : 35,605.28 = 9,715.50 : x
  2. Step 2: Convert to fraction form
    23,745.62/35,605.28 = 9,715.50/x
  3. Step 3: Cross multiply
    23,745.62x = 35,605.28 × 9,715.50
  4. Step 4: Simplify right side
    23,745.62x = 345,923,122.13
  5. Step 5: Solve for x
    x = 345,923,122.13/23,745.62
  6. Step 6: Final answer
    x = 14,567.87

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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.