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Finding the Fourth Proportional to 14,131.67, 19,505.14 and 8,469.77

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Solution

The fourth proportional to 14,131.67, 19,505.14 and 8,469.77 is: 11,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.67 : 19,505.14 = 8,469.77 : x
  2. Step 2: Convert to fraction form
    14,131.67/19,505.14 = 8,469.77/x
  3. Step 3: Cross multiply
    14,131.67x = 19,505.14 × 8,469.77
  4. Step 4: Simplify right side
    14,131.67x = 165,203,930.92
  5. Step 5: Solve for x
    x = 165,203,930.92/14,131.67
  6. Step 6: Final answer
    x = 11,690.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.