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Finding the Fourth Proportional to 12,324.75, 17,022.18 and 8,284.57

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Solution

The fourth proportional to 12,324.75, 17,022.18 and 8,284.57 is: 11,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.75 : 17,022.18 = 8,284.57 : x
  2. Step 2: Convert to fraction form
    12,324.75/17,022.18 = 8,284.57/x
  3. Step 3: Cross multiply
    12,324.75x = 17,022.18 × 8,284.57
  4. Step 4: Simplify right side
    12,324.75x = 141,021,356.65
  5. Step 5: Solve for x
    x = 141,021,356.65/12,324.75
  6. Step 6: Final answer
    x = 11,442.13

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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.