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Finding the Fourth Proportional to 23,728, 32,747.52 and 13,792

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Solution

The fourth proportional to 23,728, 32,747.52 and 13,792 is: 19,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728 : 32,747.52 = 13,792 : x
  2. Step 2: Convert to fraction form
    23,728/32,747.52 = 13,792/x
  3. Step 3: Cross multiply
    23,728x = 32,747.52 × 13,792
  4. Step 4: Simplify right side
    23,728x = 451,653,795.84
  5. Step 5: Solve for x
    x = 451,653,795.84/23,728
  6. Step 6: Final answer
    x = 19,034.63

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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.