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Finding the Fourth Proportional to 12,511.54, 17,267.49 and 8,208.24

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Solution

The fourth proportional to 12,511.54, 17,267.49 and 8,208.24 is: 11,328.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,511.54 : 17,267.49 = 8,208.24 : x
  2. Step 2: Convert to fraction form
    12,511.54/17,267.49 = 8,208.24/x
  3. Step 3: Cross multiply
    12,511.54x = 17,267.49 × 8,208.24
  4. Step 4: Simplify right side
    12,511.54x = 141,735,661.08
  5. Step 5: Solve for x
    x = 141,735,661.08/12,511.54
  6. Step 6: Final answer
    x = 11,328.40

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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.