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Finding the Fourth Proportional to 23,926.88, 35,890.62 and 8,344.50

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Solution

The fourth proportional to 23,926.88, 35,890.62 and 8,344.50 is: 12,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,926.88 : 35,890.62 = 8,344.50 : x
  2. Step 2: Convert to fraction form
    23,926.88/35,890.62 = 8,344.50/x
  3. Step 3: Cross multiply
    23,926.88x = 35,890.62 × 8,344.50
  4. Step 4: Simplify right side
    23,926.88x = 299,489,278.59
  5. Step 5: Solve for x
    x = 299,489,278.59/23,926.88
  6. Step 6: Final answer
    x = 12,516.85

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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.