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Finding the Fourth Proportional to 16,635, 22,956.32 and 9,183

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Solution

The fourth proportional to 16,635, 22,956.32 and 9,183 is: 12,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635 : 22,956.32 = 9,183 : x
  2. Step 2: Convert to fraction form
    16,635/22,956.32 = 9,183/x
  3. Step 3: Cross multiply
    16,635x = 22,956.32 × 9,183
  4. Step 4: Simplify right side
    16,635x = 210,807,886.56
  5. Step 5: Solve for x
    x = 210,807,886.56/16,635
  6. Step 6: Final answer
    x = 12,672.55

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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.