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Finding the Fourth Proportional to 16,811.52, 25,191.48 and 9,793.68

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Solution

The fourth proportional to 16,811.52, 25,191.48 and 9,793.68 is: 14,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.52 : 25,191.48 = 9,793.68 : x
  2. Step 2: Convert to fraction form
    16,811.52/25,191.48 = 9,793.68/x
  3. Step 3: Cross multiply
    16,811.52x = 25,191.48 × 9,793.68
  4. Step 4: Simplify right side
    16,811.52x = 246,717,293.85
  5. Step 5: Solve for x
    x = 246,717,293.85/16,811.52
  6. Step 6: Final answer
    x = 14,675.49

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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.