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Finding the Fourth Proportional to 27,470.66, 41,196.06 and 11,676.74

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Solution

The fourth proportional to 27,470.66, 41,196.06 and 11,676.74 is: 17,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.66 : 41,196.06 = 11,676.74 : x
  2. Step 2: Convert to fraction form
    27,470.66/41,196.06 = 11,676.74/x
  3. Step 3: Cross multiply
    27,470.66x = 41,196.06 × 11,676.74
  4. Step 4: Simplify right side
    27,470.66x = 481,035,475.66
  5. Step 5: Solve for x
    x = 481,035,475.66/27,470.66
  6. Step 6: Final answer
    x = 17,510.88

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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.