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Finding the Fourth Proportional to 16,834, 23,233.62 and 13,240.84

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Solution

The fourth proportional to 16,834, 23,233.62 and 13,240.84 is: 18,274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834 : 23,233.62 = 13,240.84 : x
  2. Step 2: Convert to fraction form
    16,834/23,233.62 = 13,240.84/x
  3. Step 3: Cross multiply
    16,834x = 23,233.62 × 13,240.84
  4. Step 4: Simplify right side
    16,834x = 307,632,645.04
  5. Step 5: Solve for x
    x = 307,632,645.04/16,834
  6. Step 6: Final answer
    x = 18,274.48

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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.