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Finding the Fourth Proportional to 12,168.38, 16,772.61 and 9,511.10

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Solution

The fourth proportional to 12,168.38, 16,772.61 and 9,511.10 is: 13,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,168.38 : 16,772.61 = 9,511.10 : x
  2. Step 2: Convert to fraction form
    12,168.38/16,772.61 = 9,511.10/x
  3. Step 3: Cross multiply
    12,168.38x = 16,772.61 × 9,511.10
  4. Step 4: Simplify right side
    12,168.38x = 159,525,970.97
  5. Step 5: Solve for x
    x = 159,525,970.97/12,168.38
  6. Step 6: Final answer
    x = 13,109.88

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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.