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Finding the Fourth Proportional to 16,676.64, 25,014.48 and 4,196.64

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Solution

The fourth proportional to 16,676.64, 25,014.48 and 4,196.64 is: 6,294.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,676.64 : 25,014.48 = 4,196.64 : x
  2. Step 2: Convert to fraction form
    16,676.64/25,014.48 = 4,196.64/x
  3. Step 3: Cross multiply
    16,676.64x = 25,014.48 × 4,196.64
  4. Step 4: Simplify right side
    16,676.64x = 104,976,767.35
  5. Step 5: Solve for x
    x = 104,976,767.35/16,676.64
  6. Step 6: Final answer
    x = 6,294.84

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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.