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Finding the Fourth Proportional to 16,800.32, 23,192.16 and 12,324.32

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Solution

The fourth proportional to 16,800.32, 23,192.16 and 12,324.32 is: 17,013.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.32 : 23,192.16 = 12,324.32 : x
  2. Step 2: Convert to fraction form
    16,800.32/23,192.16 = 12,324.32/x
  3. Step 3: Cross multiply
    16,800.32x = 23,192.16 × 12,324.32
  4. Step 4: Simplify right side
    16,800.32x = 285,827,601.33
  5. Step 5: Solve for x
    x = 285,827,601.33/16,800.32
  6. Step 6: Final answer
    x = 17,013.22

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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.