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Finding the Fourth Proportional to 15,097.54, 20,833.59 and 8,382.82

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Solution

The fourth proportional to 15,097.54, 20,833.59 and 8,382.82 is: 11,567.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.54 : 20,833.59 = 8,382.82 : x
  2. Step 2: Convert to fraction form
    15,097.54/20,833.59 = 8,382.82/x
  3. Step 3: Cross multiply
    15,097.54x = 20,833.59 × 8,382.82
  4. Step 4: Simplify right side
    15,097.54x = 174,644,234.92
  5. Step 5: Solve for x
    x = 174,644,234.92/15,097.54
  6. Step 6: Final answer
    x = 11,567.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.