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Finding the Fourth Proportional to 16,793.74, 23,176.14 and 9,718.80

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Solution

The fourth proportional to 16,793.74, 23,176.14 and 9,718.80 is: 13,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,793.74 : 23,176.14 = 9,718.80 : x
  2. Step 2: Convert to fraction form
    16,793.74/23,176.14 = 9,718.80/x
  3. Step 3: Cross multiply
    16,793.74x = 23,176.14 × 9,718.80
  4. Step 4: Simplify right side
    16,793.74x = 225,244,269.43
  5. Step 5: Solve for x
    x = 225,244,269.43/16,793.74
  6. Step 6: Final answer
    x = 13,412.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.