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Finding the Fourth Proportional to 12,280.66, 16,946.30 and 7,245.09

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Solution

The fourth proportional to 12,280.66, 16,946.30 and 7,245.09 is: 9,997.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.66 : 16,946.30 = 7,245.09 : x
  2. Step 2: Convert to fraction form
    12,280.66/16,946.30 = 7,245.09/x
  3. Step 3: Cross multiply
    12,280.66x = 16,946.30 × 7,245.09
  4. Step 4: Simplify right side
    12,280.66x = 122,777,432.44
  5. Step 5: Solve for x
    x = 122,777,432.44/12,280.66
  6. Step 6: Final answer
    x = 9,997.63

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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.