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Finding the Fourth Proportional to 13,772.09, 18,997.03 and 12,007.91

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Solution

The fourth proportional to 13,772.09, 18,997.03 and 12,007.91 is: 16,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.09 : 18,997.03 = 12,007.91 : x
  2. Step 2: Convert to fraction form
    13,772.09/18,997.03 = 12,007.91/x
  3. Step 3: Cross multiply
    13,772.09x = 18,997.03 × 12,007.91
  4. Step 4: Simplify right side
    13,772.09x = 228,114,689.01
  5. Step 5: Solve for x
    x = 228,114,689.01/13,772.09
  6. Step 6: Final answer
    x = 16,563.55

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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.