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Finding the Fourth Proportional to 16,728.74, 23,084.88 and 9,657.44

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Solution

The fourth proportional to 16,728.74, 23,084.88 and 9,657.44 is: 13,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.74 : 23,084.88 = 9,657.44 : x
  2. Step 2: Convert to fraction form
    16,728.74/23,084.88 = 9,657.44/x
  3. Step 3: Cross multiply
    16,728.74x = 23,084.88 × 9,657.44
  4. Step 4: Simplify right side
    16,728.74x = 222,940,843.51
  5. Step 5: Solve for x
    x = 222,940,843.51/16,728.74
  6. Step 6: Final answer
    x = 13,326.82

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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.