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Finding the Fourth Proportional to 12,452.36, 18,676.14 and 5,696.24

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Solution

The fourth proportional to 12,452.36, 18,676.14 and 5,696.24 is: 8,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.36 : 18,676.14 = 5,696.24 : x
  2. Step 2: Convert to fraction form
    12,452.36/18,676.14 = 5,696.24/x
  3. Step 3: Cross multiply
    12,452.36x = 18,676.14 × 5,696.24
  4. Step 4: Simplify right side
    12,452.36x = 106,383,775.71
  5. Step 5: Solve for x
    x = 106,383,775.71/12,452.36
  6. Step 6: Final answer
    x = 8,543.26

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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.