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Finding the Fourth Proportional to 27,584.70, 41,377.05 and 9,116.70

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Solution

The fourth proportional to 27,584.70, 41,377.05 and 9,116.70 is: 13,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.70 : 41,377.05 = 9,116.70 : x
  2. Step 2: Convert to fraction form
    27,584.70/41,377.05 = 9,116.70/x
  3. Step 3: Cross multiply
    27,584.70x = 41,377.05 × 9,116.70
  4. Step 4: Simplify right side
    27,584.70x = 377,222,151.74
  5. Step 5: Solve for x
    x = 377,222,151.74/27,584.70
  6. Step 6: Final answer
    x = 13,675.05

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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.