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Finding the Fourth Proportional to 13,653.54, 18,847.70 and 9,179.88

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Solution

The fourth proportional to 13,653.54, 18,847.70 and 9,179.88 is: 12,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.54 : 18,847.70 = 9,179.88 : x
  2. Step 2: Convert to fraction form
    13,653.54/18,847.70 = 9,179.88/x
  3. Step 3: Cross multiply
    13,653.54x = 18,847.70 × 9,179.88
  4. Step 4: Simplify right side
    13,653.54x = 173,019,578.38
  5. Step 5: Solve for x
    x = 173,019,578.38/13,653.54
  6. Step 6: Final answer
    x = 12,672.14

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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.