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Finding the Fourth Proportional to 16,912.34, 23,333.34 and 9,832.94

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Solution

The fourth proportional to 16,912.34, 23,333.34 and 9,832.94 is: 13,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912.34 : 23,333.34 = 9,832.94 : x
  2. Step 2: Convert to fraction form
    16,912.34/23,333.34 = 9,832.94/x
  3. Step 3: Cross multiply
    16,912.34x = 23,333.34 × 9,832.94
  4. Step 4: Simplify right side
    16,912.34x = 229,435,332.22
  5. Step 5: Solve for x
    x = 229,435,332.22/16,912.34
  6. Step 6: Final answer
    x = 13,566.15

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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.