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Finding the Fourth Proportional to 15,884.70, 23,829.24 and 5,357.73

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Solution

The fourth proportional to 15,884.70, 23,829.24 and 5,357.73 is: 8,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.70 : 23,829.24 = 5,357.73 : x
  2. Step 2: Convert to fraction form
    15,884.70/23,829.24 = 5,357.73/x
  3. Step 3: Cross multiply
    15,884.70x = 23,829.24 × 5,357.73
  4. Step 4: Simplify right side
    15,884.70x = 127,670,634.03
  5. Step 5: Solve for x
    x = 127,670,634.03/15,884.70
  6. Step 6: Final answer
    x = 8,037.33

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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.