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Finding the Fourth Proportional to 18,472.98, 27,710.30 and 6,779.82

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Solution

The fourth proportional to 18,472.98, 27,710.30 and 6,779.82 is: 10,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.98 : 27,710.30 = 6,779.82 : x
  2. Step 2: Convert to fraction form
    18,472.98/27,710.30 = 6,779.82/x
  3. Step 3: Cross multiply
    18,472.98x = 27,710.30 × 6,779.82
  4. Step 4: Simplify right side
    18,472.98x = 187,870,846.15
  5. Step 5: Solve for x
    x = 187,870,846.15/18,472.98
  6. Step 6: Final answer
    x = 10,170.03

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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.