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Finding the Fourth Proportional to 19,884.48, 29,825.76 and 5,843.92

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Solution

The fourth proportional to 19,884.48, 29,825.76 and 5,843.92 is: 8,765.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.48 : 29,825.76 = 5,843.92 : x
  2. Step 2: Convert to fraction form
    19,884.48/29,825.76 = 5,843.92/x
  3. Step 3: Cross multiply
    19,884.48x = 29,825.76 × 5,843.92
  4. Step 4: Simplify right side
    19,884.48x = 174,299,355.38
  5. Step 5: Solve for x
    x = 174,299,355.38/19,884.48
  6. Step 6: Final answer
    x = 8,765.60

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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.