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Finding the Fourth Proportional to 16,832.94, 23,225.72 and 9,662.42

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Solution

The fourth proportional to 16,832.94, 23,225.72 and 9,662.42 is: 13,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,832.94 : 23,225.72 = 9,662.42 : x
  2. Step 2: Convert to fraction form
    16,832.94/23,225.72 = 9,662.42/x
  3. Step 3: Cross multiply
    16,832.94x = 23,225.72 × 9,662.42
  4. Step 4: Simplify right side
    16,832.94x = 224,416,661.44
  5. Step 5: Solve for x
    x = 224,416,661.44/16,832.94
  6. Step 6: Final answer
    x = 13,331.99

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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.