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Finding the Fourth Proportional to 14,465.14, 19,961.48 and 8,091.34

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Solution

The fourth proportional to 14,465.14, 19,961.48 and 8,091.34 is: 11,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.14 : 19,961.48 = 8,091.34 : x
  2. Step 2: Convert to fraction form
    14,465.14/19,961.48 = 8,091.34/x
  3. Step 3: Cross multiply
    14,465.14x = 19,961.48 × 8,091.34
  4. Step 4: Simplify right side
    14,465.14x = 161,515,121.58
  5. Step 5: Solve for x
    x = 161,515,121.58/14,465.14
  6. Step 6: Final answer
    x = 11,165.82

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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.