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Finding the Fourth Proportional to 16,546.32, 22,832.34 and 9,376.56

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Solution

The fourth proportional to 16,546.32, 22,832.34 and 9,376.56 is: 12,938.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.32 : 22,832.34 = 9,376.56 : x
  2. Step 2: Convert to fraction form
    16,546.32/22,832.34 = 9,376.56/x
  3. Step 3: Cross multiply
    16,546.32x = 22,832.34 × 9,376.56
  4. Step 4: Simplify right side
    16,546.32x = 214,088,805.95
  5. Step 5: Solve for x
    x = 214,088,805.95/16,546.32
  6. Step 6: Final answer
    x = 12,938.76

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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.