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Finding the Fourth Proportional to 27,909.26, 41,869.65 and 9,190.41

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Solution

The fourth proportional to 27,909.26, 41,869.65 and 9,190.41 is: 13,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.26 : 41,869.65 = 9,190.41 : x
  2. Step 2: Convert to fraction form
    27,909.26/41,869.65 = 9,190.41/x
  3. Step 3: Cross multiply
    27,909.26x = 41,869.65 × 9,190.41
  4. Step 4: Simplify right side
    27,909.26x = 384,799,250.06
  5. Step 5: Solve for x
    x = 384,799,250.06/27,909.26
  6. Step 6: Final answer
    x = 13,787.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.