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Finding the Fourth Proportional to 23,855.76, 35,784 and 8,273.76

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Solution

The fourth proportional to 23,855.76, 35,784 and 8,273.76 is: 12,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.76 : 35,784 = 8,273.76 : x
  2. Step 2: Convert to fraction form
    23,855.76/35,784 = 8,273.76/x
  3. Step 3: Cross multiply
    23,855.76x = 35,784 × 8,273.76
  4. Step 4: Simplify right side
    23,855.76x = 296,068,227.84
  5. Step 5: Solve for x
    x = 296,068,227.84/23,855.76
  6. Step 6: Final answer
    x = 12,410.76

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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.