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Finding the Fourth Proportional to 27,478.82, 41,223.70 and 8,758.25

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Solution

The fourth proportional to 27,478.82, 41,223.70 and 8,758.25 is: 13,139.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.82 : 41,223.70 = 8,758.25 : x
  2. Step 2: Convert to fraction form
    27,478.82/41,223.70 = 8,758.25/x
  3. Step 3: Cross multiply
    27,478.82x = 41,223.70 × 8,758.25
  4. Step 4: Simplify right side
    27,478.82x = 361,047,470.53
  5. Step 5: Solve for x
    x = 361,047,470.53/27,478.82
  6. Step 6: Final answer
    x = 13,139.12

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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.