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Finding the Fourth Proportional to 13,476.60, 20,207.70 and 5,676.60

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Solution

The fourth proportional to 13,476.60, 20,207.70 and 5,676.60 is: 8,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.60 : 20,207.70 = 5,676.60 : x
  2. Step 2: Convert to fraction form
    13,476.60/20,207.70 = 5,676.60/x
  3. Step 3: Cross multiply
    13,476.60x = 20,207.70 × 5,676.60
  4. Step 4: Simplify right side
    13,476.60x = 114,711,029.82
  5. Step 5: Solve for x
    x = 114,711,029.82/13,476.60
  6. Step 6: Final answer
    x = 8,511.87

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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.