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Finding the Fourth Proportional to 13,728.57, 18,935.42 and 8,693.61

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Solution

The fourth proportional to 13,728.57, 18,935.42 and 8,693.61 is: 11,990.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,728.57 : 18,935.42 = 8,693.61 : x
  2. Step 2: Convert to fraction form
    13,728.57/18,935.42 = 8,693.61/x
  3. Step 3: Cross multiply
    13,728.57x = 18,935.42 × 8,693.61
  4. Step 4: Simplify right side
    13,728.57x = 164,617,113.20
  5. Step 5: Solve for x
    x = 164,617,113.20/13,728.57
  6. Step 6: Final answer
    x = 11,990.84

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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.