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Finding the Fourth Proportional to 15,822.73, 23,713.34 and 11,643.17

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Solution

The fourth proportional to 15,822.73, 23,713.34 and 11,643.17 is: 17,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822.73 : 23,713.34 = 11,643.17 : x
  2. Step 2: Convert to fraction form
    15,822.73/23,713.34 = 11,643.17/x
  3. Step 3: Cross multiply
    15,822.73x = 23,713.34 × 11,643.17
  4. Step 4: Simplify right side
    15,822.73x = 276,098,361.03
  5. Step 5: Solve for x
    x = 276,098,361.03/15,822.73
  6. Step 6: Final answer
    x = 17,449.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.