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Finding the Fourth Proportional to 16,846.68, 25,269.90 and 13,152

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Solution

The fourth proportional to 16,846.68, 25,269.90 and 13,152 is: 19,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,846.68 : 25,269.90 = 13,152 : x
  2. Step 2: Convert to fraction form
    16,846.68/25,269.90 = 13,152/x
  3. Step 3: Cross multiply
    16,846.68x = 25,269.90 × 13,152
  4. Step 4: Simplify right side
    16,846.68x = 332,349,724.80
  5. Step 5: Solve for x
    x = 332,349,724.80/16,846.68
  6. Step 6: Final answer
    x = 19,727.91

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Why These Related Problems?

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