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Finding the Fourth Proportional to 15,183, 20,956.38 and 8,562.84

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Solution

The fourth proportional to 15,183, 20,956.38 and 8,562.84 is: 11,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,183 : 20,956.38 = 8,562.84 : x
  2. Step 2: Convert to fraction form
    15,183/20,956.38 = 8,562.84/x
  3. Step 3: Cross multiply
    15,183x = 20,956.38 × 8,562.84
  4. Step 4: Simplify right side
    15,183x = 179,446,128.92
  5. Step 5: Solve for x
    x = 179,446,128.92/15,183
  6. Step 6: Final answer
    x = 11,818.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.