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Finding the Fourth Proportional to 25,714.44, 38,563.39 and 8,180.17

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Solution

The fourth proportional to 25,714.44, 38,563.39 and 8,180.17 is: 12,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.44 : 38,563.39 = 8,180.17 : x
  2. Step 2: Convert to fraction form
    25,714.44/38,563.39 = 8,180.17/x
  3. Step 3: Cross multiply
    25,714.44x = 38,563.39 × 8,180.17
  4. Step 4: Simplify right side
    25,714.44x = 315,455,085.98
  5. Step 5: Solve for x
    x = 315,455,085.98/25,714.44
  6. Step 6: Final answer
    x = 12,267.62

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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.