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Finding the Fourth Proportional to 23,738.26, 35,607.35 and 8,950.50

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Solution

The fourth proportional to 23,738.26, 35,607.35 and 8,950.50 is: 13,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,738.26 : 35,607.35 = 8,950.50 : x
  2. Step 2: Convert to fraction form
    23,738.26/35,607.35 = 8,950.50/x
  3. Step 3: Cross multiply
    23,738.26x = 35,607.35 × 8,950.50
  4. Step 4: Simplify right side
    23,738.26x = 318,703,363.39
  5. Step 5: Solve for x
    x = 318,703,363.39/23,738.26
  6. Step 6: Final answer
    x = 13,425.73

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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.