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Finding the Fourth Proportional to 19,200.41, 28,775.64 and 9,832.49

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Solution

The fourth proportional to 19,200.41, 28,775.64 and 9,832.49 is: 14,735.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200.41 : 28,775.64 = 9,832.49 : x
  2. Step 2: Convert to fraction form
    19,200.41/28,775.64 = 9,832.49/x
  3. Step 3: Cross multiply
    19,200.41x = 28,775.64 × 9,832.49
  4. Step 4: Simplify right side
    19,200.41x = 282,936,192.54
  5. Step 5: Solve for x
    x = 282,936,192.54/19,200.41
  6. Step 6: Final answer
    x = 14,735.95

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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.