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Finding the Fourth Proportional to 13,853.70, 20,775.69 and 6,456.78

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Solution

The fourth proportional to 13,853.70, 20,775.69 and 6,456.78 is: 9,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.70 : 20,775.69 = 6,456.78 : x
  2. Step 2: Convert to fraction form
    13,853.70/20,775.69 = 6,456.78/x
  3. Step 3: Cross multiply
    13,853.70x = 20,775.69 × 6,456.78
  4. Step 4: Simplify right side
    13,853.70x = 134,144,059.68
  5. Step 5: Solve for x
    x = 134,144,059.68/13,853.70
  6. Step 6: Final answer
    x = 9,682.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.