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Finding the Fourth Proportional to 27,946.69, 41,920.07 and 11,306.87

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Solution

The fourth proportional to 27,946.69, 41,920.07 and 11,306.87 is: 16,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,946.69 : 41,920.07 = 11,306.87 : x
  2. Step 2: Convert to fraction form
    27,946.69/41,920.07 = 11,306.87/x
  3. Step 3: Cross multiply
    27,946.69x = 41,920.07 × 11,306.87
  4. Step 4: Simplify right side
    27,946.69x = 473,984,555.05
  5. Step 5: Solve for x
    x = 473,984,555.05/27,946.69
  6. Step 6: Final answer
    x = 16,960.31

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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.