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Finding the Fourth Proportional to 16,728.57, 23,085.24 and 9,654.84

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Solution

The fourth proportional to 16,728.57, 23,085.24 and 9,654.84 is: 13,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,728.57 : 23,085.24 = 9,654.84 : x
  2. Step 2: Convert to fraction form
    16,728.57/23,085.24 = 9,654.84/x
  3. Step 3: Cross multiply
    16,728.57x = 23,085.24 × 9,654.84
  4. Step 4: Simplify right side
    16,728.57x = 222,884,262.36
  5. Step 5: Solve for x
    x = 222,884,262.36/16,728.57
  6. Step 6: Final answer
    x = 13,323.57

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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.