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Finding the Fourth Proportional to 27,174.87, 40,763.21 and 8,200.35

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Solution

The fourth proportional to 27,174.87, 40,763.21 and 8,200.35 is: 12,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,174.87 : 40,763.21 = 8,200.35 : x
  2. Step 2: Convert to fraction form
    27,174.87/40,763.21 = 8,200.35/x
  3. Step 3: Cross multiply
    27,174.87x = 40,763.21 × 8,200.35
  4. Step 4: Simplify right side
    27,174.87x = 334,272,548.12
  5. Step 5: Solve for x
    x = 334,272,548.12/27,174.87
  6. Step 6: Final answer
    x = 12,300.80

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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.