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Finding the Fourth Proportional to 18,463.41, 27,709.65 and 6,779.97

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Solution

The fourth proportional to 18,463.41, 27,709.65 and 6,779.97 is: 10,175.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,463.41 : 27,709.65 = 6,779.97 : x
  2. Step 2: Convert to fraction form
    18,463.41/27,709.65 = 6,779.97/x
  3. Step 3: Cross multiply
    18,463.41x = 27,709.65 × 6,779.97
  4. Step 4: Simplify right side
    18,463.41x = 187,870,595.71
  5. Step 5: Solve for x
    x = 187,870,595.71/18,463.41
  6. Step 6: Final answer
    x = 10,175.29

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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.