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Finding the Fourth Proportional to 16,785.74, 25,144.04 and 9,843.50

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Solution

The fourth proportional to 16,785.74, 25,144.04 and 9,843.50 is: 14,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785.74 : 25,144.04 = 9,843.50 : x
  2. Step 2: Convert to fraction form
    16,785.74/25,144.04 = 9,843.50/x
  3. Step 3: Cross multiply
    16,785.74x = 25,144.04 × 9,843.50
  4. Step 4: Simplify right side
    16,785.74x = 247,505,357.74
  5. Step 5: Solve for x
    x = 247,505,357.74/16,785.74
  6. Step 6: Final answer
    x = 14,744.98

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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.