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Finding the Fourth Proportional to 13,961.70, 19,262.88 and 9,180.27

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Solution

The fourth proportional to 13,961.70, 19,262.88 and 9,180.27 is: 12,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.70 : 19,262.88 = 9,180.27 : x
  2. Step 2: Convert to fraction form
    13,961.70/19,262.88 = 9,180.27/x
  3. Step 3: Cross multiply
    13,961.70x = 19,262.88 × 9,180.27
  4. Step 4: Simplify right side
    13,961.70x = 176,838,439.38
  5. Step 5: Solve for x
    x = 176,838,439.38/13,961.70
  6. Step 6: Final answer
    x = 12,665.97

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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.