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Finding the Fourth Proportional to 13,608.64, 20,421.13 and 5,817.45

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Solution

The fourth proportional to 13,608.64, 20,421.13 and 5,817.45 is: 8,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.64 : 20,421.13 = 5,817.45 : x
  2. Step 2: Convert to fraction form
    13,608.64/20,421.13 = 5,817.45/x
  3. Step 3: Cross multiply
    13,608.64x = 20,421.13 × 5,817.45
  4. Step 4: Simplify right side
    13,608.64x = 118,798,902.72
  5. Step 5: Solve for x
    x = 118,798,902.72/13,608.64
  6. Step 6: Final answer
    x = 8,729.67

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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.