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Finding the Fourth Proportional to 14,096.45, 19,453.74 and 7,808.42

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Solution

The fourth proportional to 14,096.45, 19,453.74 and 7,808.42 is: 10,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.45 : 19,453.74 = 7,808.42 : x
  2. Step 2: Convert to fraction form
    14,096.45/19,453.74 = 7,808.42/x
  3. Step 3: Cross multiply
    14,096.45x = 19,453.74 × 7,808.42
  4. Step 4: Simplify right side
    14,096.45x = 151,902,991.84
  5. Step 5: Solve for x
    x = 151,902,991.84/14,096.45
  6. Step 6: Final answer
    x = 10,775.97

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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.