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Finding the Fourth Proportional to 18,567.96, 27,846.42 and 5,416.80

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Solution

The fourth proportional to 18,567.96, 27,846.42 and 5,416.80 is: 8,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.96 : 27,846.42 = 5,416.80 : x
  2. Step 2: Convert to fraction form
    18,567.96/27,846.42 = 5,416.80/x
  3. Step 3: Cross multiply
    18,567.96x = 27,846.42 × 5,416.80
  4. Step 4: Simplify right side
    18,567.96x = 150,838,487.86
  5. Step 5: Solve for x
    x = 150,838,487.86/18,567.96
  6. Step 6: Final answer
    x = 8,123.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.