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Finding the Fourth Proportional to 27,422.70, 41,136.83 and 7,701.33

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Solution

The fourth proportional to 27,422.70, 41,136.83 and 7,701.33 is: 11,552.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,422.70 : 41,136.83 = 7,701.33 : x
  2. Step 2: Convert to fraction form
    27,422.70/41,136.83 = 7,701.33/x
  3. Step 3: Cross multiply
    27,422.70x = 41,136.83 × 7,701.33
  4. Step 4: Simplify right side
    27,422.70x = 316,808,264.48
  5. Step 5: Solve for x
    x = 316,808,264.48/27,422.70
  6. Step 6: Final answer
    x = 11,552.77

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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.