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Finding the Fourth Proportional to 16,844.64, 25,232.13 and 8,052.90

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Solution

The fourth proportional to 16,844.64, 25,232.13 and 8,052.90 is: 12,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,844.64 : 25,232.13 = 8,052.90 : x
  2. Step 2: Convert to fraction form
    16,844.64/25,232.13 = 8,052.90/x
  3. Step 3: Cross multiply
    16,844.64x = 25,232.13 × 8,052.90
  4. Step 4: Simplify right side
    16,844.64x = 203,191,819.68
  5. Step 5: Solve for x
    x = 203,191,819.68/16,844.64
  6. Step 6: Final answer
    x = 12,062.70

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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.