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Finding the Fourth Proportional to 18,475.92, 27,713.34 and 6,786

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Solution

The fourth proportional to 18,475.92, 27,713.34 and 6,786 is: 10,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,475.92 : 27,713.34 = 6,786 : x
  2. Step 2: Convert to fraction form
    18,475.92/27,713.34 = 6,786/x
  3. Step 3: Cross multiply
    18,475.92x = 27,713.34 × 6,786
  4. Step 4: Simplify right side
    18,475.92x = 188,062,725.24
  5. Step 5: Solve for x
    x = 188,062,725.24/18,475.92
  6. Step 6: Final answer
    x = 10,178.80

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