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Finding the Fourth Proportional to 14,383.76, 19,849.96 and 8,096.36

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Solution

The fourth proportional to 14,383.76, 19,849.96 and 8,096.36 is: 11,173.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,383.76 : 19,849.96 = 8,096.36 : x
  2. Step 2: Convert to fraction form
    14,383.76/19,849.96 = 8,096.36/x
  3. Step 3: Cross multiply
    14,383.76x = 19,849.96 × 8,096.36
  4. Step 4: Simplify right side
    14,383.76x = 160,712,422.15
  5. Step 5: Solve for x
    x = 160,712,422.15/14,383.76
  6. Step 6: Final answer
    x = 11,173.19

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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.