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Finding the Fourth Proportional to 19,823.59, 29,735.38 and 5,972.59

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Solution

The fourth proportional to 19,823.59, 29,735.38 and 5,972.59 is: 8,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.59 : 29,735.38 = 5,972.59 : x
  2. Step 2: Convert to fraction form
    19,823.59/29,735.38 = 5,972.59/x
  3. Step 3: Cross multiply
    19,823.59x = 29,735.38 × 5,972.59
  4. Step 4: Simplify right side
    19,823.59x = 177,597,233.23
  5. Step 5: Solve for x
    x = 177,597,233.23/19,823.59
  6. Step 6: Final answer
    x = 8,958.88

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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.