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Finding the Fourth Proportional to 11,532.82, 17,236.04 and 8,419.38

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Solution

The fourth proportional to 11,532.82, 17,236.04 and 8,419.38 is: 12,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.82 : 17,236.04 = 8,419.38 : x
  2. Step 2: Convert to fraction form
    11,532.82/17,236.04 = 8,419.38/x
  3. Step 3: Cross multiply
    11,532.82x = 17,236.04 × 8,419.38
  4. Step 4: Simplify right side
    11,532.82x = 145,116,728.36
  5. Step 5: Solve for x
    x = 145,116,728.36/11,532.82
  6. Step 6: Final answer
    x = 12,582.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.