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Finding the Fourth Proportional to 27,986.50, 41,982.82 and 9,259.70

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Solution

The fourth proportional to 27,986.50, 41,982.82 and 9,259.70 is: 13,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.50 : 41,982.82 = 9,259.70 : x
  2. Step 2: Convert to fraction form
    27,986.50/41,982.82 = 9,259.70/x
  3. Step 3: Cross multiply
    27,986.50x = 41,982.82 × 9,259.70
  4. Step 4: Simplify right side
    27,986.50x = 388,748,318.35
  5. Step 5: Solve for x
    x = 388,748,318.35/27,986.50
  6. Step 6: Final answer
    x = 13,890.57

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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.