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Finding the Fourth Proportional to 12,382.36, 17,078.12 and 8,605.48

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Solution

The fourth proportional to 12,382.36, 17,078.12 and 8,605.48 is: 11,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.36 : 17,078.12 = 8,605.48 : x
  2. Step 2: Convert to fraction form
    12,382.36/17,078.12 = 8,605.48/x
  3. Step 3: Cross multiply
    12,382.36x = 17,078.12 × 8,605.48
  4. Step 4: Simplify right side
    12,382.36x = 146,965,420.10
  5. Step 5: Solve for x
    x = 146,965,420.10/12,382.36
  6. Step 6: Final answer
    x = 11,868.93

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Why These Related Problems?

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