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Finding the Fourth Proportional to 27,817.32, 41,725.26 and 8,101.32

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Solution

The fourth proportional to 27,817.32, 41,725.26 and 8,101.32 is: 12,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,817.32 : 41,725.26 = 8,101.32 : x
  2. Step 2: Convert to fraction form
    27,817.32/41,725.26 = 8,101.32/x
  3. Step 3: Cross multiply
    27,817.32x = 41,725.26 × 8,101.32
  4. Step 4: Simplify right side
    27,817.32x = 338,029,683.34
  5. Step 5: Solve for x
    x = 338,029,683.34/27,817.32
  6. Step 6: Final answer
    x = 12,151.77

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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.