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Finding the Fourth Proportional to 27,709.48, 41,570.46 and 9,241

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Solution

The fourth proportional to 27,709.48, 41,570.46 and 9,241 is: 13,863.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.48 : 41,570.46 = 9,241 : x
  2. Step 2: Convert to fraction form
    27,709.48/41,570.46 = 9,241/x
  3. Step 3: Cross multiply
    27,709.48x = 41,570.46 × 9,241
  4. Step 4: Simplify right side
    27,709.48x = 384,152,620.86
  5. Step 5: Solve for x
    x = 384,152,620.86/27,709.48
  6. Step 6: Final answer
    x = 13,863.58

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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.