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Finding the Fourth Proportional to 16,496.92, 24,701.10 and 13,872.52

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Solution

The fourth proportional to 16,496.92, 24,701.10 and 13,872.52 is: 20,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.92 : 24,701.10 = 13,872.52 : x
  2. Step 2: Convert to fraction form
    16,496.92/24,701.10 = 13,872.52/x
  3. Step 3: Cross multiply
    16,496.92x = 24,701.10 × 13,872.52
  4. Step 4: Simplify right side
    16,496.92x = 342,666,503.77
  5. Step 5: Solve for x
    x = 342,666,503.77/16,496.92
  6. Step 6: Final answer
    x = 20,771.54

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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.