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Finding the Fourth Proportional to 11,892.24, 17,830.80 and 8,196

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Solution

The fourth proportional to 11,892.24, 17,830.80 and 8,196 is: 12,288.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.24 : 17,830.80 = 8,196 : x
  2. Step 2: Convert to fraction form
    11,892.24/17,830.80 = 8,196/x
  3. Step 3: Cross multiply
    11,892.24x = 17,830.80 × 8,196
  4. Step 4: Simplify right side
    11,892.24x = 146,141,236.80
  5. Step 5: Solve for x
    x = 146,141,236.80/11,892.24
  6. Step 6: Final answer
    x = 12,288.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.