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Finding the Fourth Proportional to 27,942.96, 41,909.48 and 9,223.26

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Solution

The fourth proportional to 27,942.96, 41,909.48 and 9,223.26 is: 13,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.96 : 41,909.48 = 9,223.26 : x
  2. Step 2: Convert to fraction form
    27,942.96/41,909.48 = 9,223.26/x
  3. Step 3: Cross multiply
    27,942.96x = 41,909.48 × 9,223.26
  4. Step 4: Simplify right side
    27,942.96x = 386,542,030.50
  5. Step 5: Solve for x
    x = 386,542,030.50/27,942.96
  6. Step 6: Final answer
    x = 13,833.25

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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.