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Finding the Fourth Proportional to 16,389.36, 24,549.08 and 11,997

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Solution

The fourth proportional to 16,389.36, 24,549.08 and 11,997 is: 17,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.36 : 24,549.08 = 11,997 : x
  2. Step 2: Convert to fraction form
    16,389.36/24,549.08 = 11,997/x
  3. Step 3: Cross multiply
    16,389.36x = 24,549.08 × 11,997
  4. Step 4: Simplify right side
    16,389.36x = 294,515,252.78
  5. Step 5: Solve for x
    x = 294,515,252.78/16,389.36
  6. Step 6: Final answer
    x = 17,969.91

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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.