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Finding the Fourth Proportional to 16,857.96, 25,302.48 and 8,543.88

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Solution

The fourth proportional to 16,857.96, 25,302.48 and 8,543.88 is: 12,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.96 : 25,302.48 = 8,543.88 : x
  2. Step 2: Convert to fraction form
    16,857.96/25,302.48 = 8,543.88/x
  3. Step 3: Cross multiply
    16,857.96x = 25,302.48 × 8,543.88
  4. Step 4: Simplify right side
    16,857.96x = 216,181,183.59
  5. Step 5: Solve for x
    x = 216,181,183.59/16,857.96
  6. Step 6: Final answer
    x = 12,823.69

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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.