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Finding the Fourth Proportional to 19,795.96, 29,694.96 and 5,005

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Solution

The fourth proportional to 19,795.96, 29,694.96 and 5,005 is: 7,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,795.96 : 29,694.96 = 5,005 : x
  2. Step 2: Convert to fraction form
    19,795.96/29,694.96 = 5,005/x
  3. Step 3: Cross multiply
    19,795.96x = 29,694.96 × 5,005
  4. Step 4: Simplify right side
    19,795.96x = 148,623,274.80
  5. Step 5: Solve for x
    x = 148,623,274.80/19,795.96
  6. Step 6: Final answer
    x = 7,507.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.