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Finding the Fourth Proportional to 12,466.61, 18,698.34 and 5,451.44

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Solution

The fourth proportional to 12,466.61, 18,698.34 and 5,451.44 is: 8,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.61 : 18,698.34 = 5,451.44 : x
  2. Step 2: Convert to fraction form
    12,466.61/18,698.34 = 5,451.44/x
  3. Step 3: Cross multiply
    12,466.61x = 18,698.34 × 5,451.44
  4. Step 4: Simplify right side
    12,466.61x = 101,932,878.61
  5. Step 5: Solve for x
    x = 101,932,878.61/12,466.61
  6. Step 6: Final answer
    x = 8,176.47

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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.