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Finding the Fourth Proportional to 16,912.07, 23,340.11 and 9,838

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Solution

The fourth proportional to 16,912.07, 23,340.11 and 9,838 is: 13,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,912.07 : 23,340.11 = 9,838 : x
  2. Step 2: Convert to fraction form
    16,912.07/23,340.11 = 9,838/x
  3. Step 3: Cross multiply
    16,912.07x = 23,340.11 × 9,838
  4. Step 4: Simplify right side
    16,912.07x = 229,620,002.18
  5. Step 5: Solve for x
    x = 229,620,002.18/16,912.07
  6. Step 6: Final answer
    x = 13,577.29

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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.