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Finding the Fourth Proportional to 15,676.74, 23,493 and 8,659.92

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Solution

The fourth proportional to 15,676.74, 23,493 and 8,659.92 is: 12,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.74 : 23,493 = 8,659.92 : x
  2. Step 2: Convert to fraction form
    15,676.74/23,493 = 8,659.92/x
  3. Step 3: Cross multiply
    15,676.74x = 23,493 × 8,659.92
  4. Step 4: Simplify right side
    15,676.74x = 203,447,500.56
  5. Step 5: Solve for x
    x = 203,447,500.56/15,676.74
  6. Step 6: Final answer
    x = 12,977.67

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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.