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Finding the Fourth Proportional to 13,397.67, 20,096.70 and 6,378.42

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Solution

The fourth proportional to 13,397.67, 20,096.70 and 6,378.42 is: 9,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,397.67 : 20,096.70 = 6,378.42 : x
  2. Step 2: Convert to fraction form
    13,397.67/20,096.70 = 6,378.42/x
  3. Step 3: Cross multiply
    13,397.67x = 20,096.70 × 6,378.42
  4. Step 4: Simplify right side
    13,397.67x = 128,185,193.21
  5. Step 5: Solve for x
    x = 128,185,193.21/13,397.67
  6. Step 6: Final answer
    x = 9,567.72

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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.