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Finding the Fourth Proportional to 22,154.73, 33,238.37 and 9,016.53

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Solution

The fourth proportional to 22,154.73, 33,238.37 and 9,016.53 is: 13,527.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,154.73 : 33,238.37 = 9,016.53 : x
  2. Step 2: Convert to fraction form
    22,154.73/33,238.37 = 9,016.53/x
  3. Step 3: Cross multiply
    22,154.73x = 33,238.37 × 9,016.53
  4. Step 4: Simplify right side
    22,154.73x = 299,694,760.26
  5. Step 5: Solve for x
    x = 299,694,760.26/22,154.73
  6. Step 6: Final answer
    x = 13,527.35

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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.