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Finding the Fourth Proportional to 27,945.41, 41,909.23 and 9,221.96

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Solution

The fourth proportional to 27,945.41, 41,909.23 and 9,221.96 is: 13,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945.41 : 41,909.23 = 9,221.96 : x
  2. Step 2: Convert to fraction form
    27,945.41/41,909.23 = 9,221.96/x
  3. Step 3: Cross multiply
    27,945.41x = 41,909.23 × 9,221.96
  4. Step 4: Simplify right side
    27,945.41x = 386,485,242.69
  5. Step 5: Solve for x
    x = 386,485,242.69/27,945.41
  6. Step 6: Final answer
    x = 13,830.01

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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.