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Finding the Fourth Proportional to 13,755.81, 20,586.96 and 8,494.14

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Solution

The fourth proportional to 13,755.81, 20,586.96 and 8,494.14 is: 12,712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.81 : 20,586.96 = 8,494.14 : x
  2. Step 2: Convert to fraction form
    13,755.81/20,586.96 = 8,494.14/x
  3. Step 3: Cross multiply
    13,755.81x = 20,586.96 × 8,494.14
  4. Step 4: Simplify right side
    13,755.81x = 174,868,520.41
  5. Step 5: Solve for x
    x = 174,868,520.41/13,755.81
  6. Step 6: Final answer
    x = 12,712.34

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1.5x scale

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.