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Finding the Fourth Proportional to 27,709.40, 41,564.22 and 7,988.36

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Solution

The fourth proportional to 27,709.40, 41,564.22 and 7,988.36 is: 11,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.40 : 41,564.22 = 7,988.36 : x
  2. Step 2: Convert to fraction form
    27,709.40/41,564.22 = 7,988.36/x
  3. Step 3: Cross multiply
    27,709.40x = 41,564.22 × 7,988.36
  4. Step 4: Simplify right side
    27,709.40x = 332,029,952.48
  5. Step 5: Solve for x
    x = 332,029,952.48/27,709.40
  6. Step 6: Final answer
    x = 11,982.57

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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.