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Finding the Fourth Proportional to 13,592.45, 20,397.33 and 6,197.64

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Solution

The fourth proportional to 13,592.45, 20,397.33 and 6,197.64 is: 9,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.45 : 20,397.33 = 6,197.64 : x
  2. Step 2: Convert to fraction form
    13,592.45/20,397.33 = 6,197.64/x
  3. Step 3: Cross multiply
    13,592.45x = 20,397.33 × 6,197.64
  4. Step 4: Simplify right side
    13,592.45x = 126,415,308.30
  5. Step 5: Solve for x
    x = 126,415,308.30/13,592.45
  6. Step 6: Final answer
    x = 9,300.41

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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.