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Finding the Fourth Proportional to 16,257.61, 24,383.92 and 5,162.86

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Solution

The fourth proportional to 16,257.61, 24,383.92 and 5,162.86 is: 7,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.61 : 24,383.92 = 5,162.86 : x
  2. Step 2: Convert to fraction form
    16,257.61/24,383.92 = 5,162.86/x
  3. Step 3: Cross multiply
    16,257.61x = 24,383.92 × 5,162.86
  4. Step 4: Simplify right side
    16,257.61x = 125,890,765.21
  5. Step 5: Solve for x
    x = 125,890,765.21/16,257.61
  6. Step 6: Final answer
    x = 7,743.50

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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.