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Finding the Fourth Proportional to 13,706.96, 20,548.02 and 8,777.84

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Solution

The fourth proportional to 13,706.96, 20,548.02 and 8,777.84 is: 13,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.96 : 20,548.02 = 8,777.84 : x
  2. Step 2: Convert to fraction form
    13,706.96/20,548.02 = 8,777.84/x
  3. Step 3: Cross multiply
    13,706.96x = 20,548.02 × 8,777.84
  4. Step 4: Simplify right side
    13,706.96x = 180,367,231.88
  5. Step 5: Solve for x
    x = 180,367,231.88/13,706.96
  6. Step 6: Final answer
    x = 13,158.81

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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.