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Finding the Fourth Proportional to 13,850.10, 20,776.23 and 6,833.88

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Solution

The fourth proportional to 13,850.10, 20,776.23 and 6,833.88 is: 10,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.10 : 20,776.23 = 6,833.88 : x
  2. Step 2: Convert to fraction form
    13,850.10/20,776.23 = 6,833.88/x
  3. Step 3: Cross multiply
    13,850.10x = 20,776.23 × 6,833.88
  4. Step 4: Simplify right side
    13,850.10x = 141,982,262.67
  5. Step 5: Solve for x
    x = 141,982,262.67/13,850.10
  6. Step 6: Final answer
    x = 10,251.35

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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.