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Finding the Fourth Proportional to 18,680.70, 25,778.59 and 10,182.64

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Solution

The fourth proportional to 18,680.70, 25,778.59 and 10,182.64 is: 14,051.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,680.70 : 25,778.59 = 10,182.64 : x
  2. Step 2: Convert to fraction form
    18,680.70/25,778.59 = 10,182.64/x
  3. Step 3: Cross multiply
    18,680.70x = 25,778.59 × 10,182.64
  4. Step 4: Simplify right side
    18,680.70x = 262,493,963.44
  5. Step 5: Solve for x
    x = 262,493,963.44/18,680.70
  6. Step 6: Final answer
    x = 14,051.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.