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Finding the Fourth Proportional to 13,850.34, 20,761.17 and 6,448.86

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Solution

The fourth proportional to 13,850.34, 20,761.17 and 6,448.86 is: 9,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.34 : 20,761.17 = 6,448.86 : x
  2. Step 2: Convert to fraction form
    13,850.34/20,761.17 = 6,448.86/x
  3. Step 3: Cross multiply
    13,850.34x = 20,761.17 × 6,448.86
  4. Step 4: Simplify right side
    13,850.34x = 133,885,878.77
  5. Step 5: Solve for x
    x = 133,885,878.77/13,850.34
  6. Step 6: Final answer
    x = 9,666.61

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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.