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Finding the Fourth Proportional to 16,801.30, 23,184.43 and 9,728.17

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Solution

The fourth proportional to 16,801.30, 23,184.43 and 9,728.17 is: 13,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,801.30 : 23,184.43 = 9,728.17 : x
  2. Step 2: Convert to fraction form
    16,801.30/23,184.43 = 9,728.17/x
  3. Step 3: Cross multiply
    16,801.30x = 23,184.43 × 9,728.17
  4. Step 4: Simplify right side
    16,801.30x = 225,542,076.39
  5. Step 5: Solve for x
    x = 225,542,076.39/16,801.30
  6. Step 6: Final answer
    x = 13,424.08

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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.