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Finding the Fourth Proportional to 27,242.96, 40,852.92 and 8,517.98

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Solution

The fourth proportional to 27,242.96, 40,852.92 and 8,517.98 is: 12,773.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242.96 : 40,852.92 = 8,517.98 : x
  2. Step 2: Convert to fraction form
    27,242.96/40,852.92 = 8,517.98/x
  3. Step 3: Cross multiply
    27,242.96x = 40,852.92 × 8,517.98
  4. Step 4: Simplify right side
    27,242.96x = 347,984,355.50
  5. Step 5: Solve for x
    x = 347,984,355.50/27,242.96
  6. Step 6: Final answer
    x = 12,773.37

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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.