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Finding the Fourth Proportional to 25,245.44, 34,833.12 and 16,856

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Solution

The fourth proportional to 25,245.44, 34,833.12 and 16,856 is: 23,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245.44 : 34,833.12 = 16,856 : x
  2. Step 2: Convert to fraction form
    25,245.44/34,833.12 = 16,856/x
  3. Step 3: Cross multiply
    25,245.44x = 34,833.12 × 16,856
  4. Step 4: Simplify right side
    25,245.44x = 587,147,070.72
  5. Step 5: Solve for x
    x = 587,147,070.72/25,245.44
  6. Step 6: Final answer
    x = 23,257.55

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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.