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Finding the Fourth Proportional to 18,466.32, 27,698.54 and 6,778.64

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Solution

The fourth proportional to 18,466.32, 27,698.54 and 6,778.64 is: 10,167.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,466.32 : 27,698.54 = 6,778.64 : x
  2. Step 2: Convert to fraction form
    18,466.32/27,698.54 = 6,778.64/x
  3. Step 3: Cross multiply
    18,466.32x = 27,698.54 × 6,778.64
  4. Step 4: Simplify right side
    18,466.32x = 187,758,431.19
  5. Step 5: Solve for x
    x = 187,758,431.19/18,466.32
  6. Step 6: Final answer
    x = 10,167.61

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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.