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Finding the Fourth Proportional to 14,115.76, 19,481.82 and 8,146.24

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Solution

The fourth proportional to 14,115.76, 19,481.82 and 8,146.24 is: 11,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.76 : 19,481.82 = 8,146.24 : x
  2. Step 2: Convert to fraction form
    14,115.76/19,481.82 = 8,146.24/x
  3. Step 3: Cross multiply
    14,115.76x = 19,481.82 × 8,146.24
  4. Step 4: Simplify right side
    14,115.76x = 158,703,581.36
  5. Step 5: Solve for x
    x = 158,703,581.36/14,115.76
  6. Step 6: Final answer
    x = 11,243.01

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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.