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Finding the Fourth Proportional to 17,948.82, 26,923.32 and 7,567.86

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Solution

The fourth proportional to 17,948.82, 26,923.32 and 7,567.86 is: 11,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,948.82 : 26,923.32 = 7,567.86 : x
  2. Step 2: Convert to fraction form
    17,948.82/26,923.32 = 7,567.86/x
  3. Step 3: Cross multiply
    17,948.82x = 26,923.32 × 7,567.86
  4. Step 4: Simplify right side
    17,948.82x = 203,751,916.50
  5. Step 5: Solve for x
    x = 203,751,916.50/17,948.82
  6. Step 6: Final answer
    x = 11,351.83

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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.