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Finding the Fourth Proportional to 11,546.96, 17,323.17 and 8,284.68

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Solution

The fourth proportional to 11,546.96, 17,323.17 and 8,284.68 is: 12,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.96 : 17,323.17 = 8,284.68 : x
  2. Step 2: Convert to fraction form
    11,546.96/17,323.17 = 8,284.68/x
  3. Step 3: Cross multiply
    11,546.96x = 17,323.17 × 8,284.68
  4. Step 4: Simplify right side
    11,546.96x = 143,516,888.97
  5. Step 5: Solve for x
    x = 143,516,888.97/11,546.96
  6. Step 6: Final answer
    x = 12,428.98

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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.