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Finding the Fourth Proportional to 17,638.92, 24,311.41 and 16,808.47

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Solution

The fourth proportional to 17,638.92, 24,311.41 and 16,808.47 is: 23,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.92 : 24,311.41 = 16,808.47 : x
  2. Step 2: Convert to fraction form
    17,638.92/24,311.41 = 16,808.47/x
  3. Step 3: Cross multiply
    17,638.92x = 24,311.41 × 16,808.47
  4. Step 4: Simplify right side
    17,638.92x = 408,637,502.84
  5. Step 5: Solve for x
    x = 408,637,502.84/17,638.92
  6. Step 6: Final answer
    x = 23,166.81

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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.