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Finding the Fourth Proportional to 18,192, 25,106.13 and 11,026.86

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Solution

The fourth proportional to 18,192, 25,106.13 and 11,026.86 is: 15,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,192 : 25,106.13 = 11,026.86 : x
  2. Step 2: Convert to fraction form
    18,192/25,106.13 = 11,026.86/x
  3. Step 3: Cross multiply
    18,192x = 25,106.13 × 11,026.86
  4. Step 4: Simplify right side
    18,192x = 276,841,780.65
  5. Step 5: Solve for x
    x = 276,841,780.65/18,192
  6. Step 6: Final answer
    x = 15,217.78

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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.