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Finding the Fourth Proportional to 13,608.69, 20,414.32 and 5,289.35

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Solution

The fourth proportional to 13,608.69, 20,414.32 and 5,289.35 is: 7,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608.69 : 20,414.32 = 5,289.35 : x
  2. Step 2: Convert to fraction form
    13,608.69/20,414.32 = 5,289.35/x
  3. Step 3: Cross multiply
    13,608.69x = 20,414.32 × 5,289.35
  4. Step 4: Simplify right side
    13,608.69x = 107,978,381.42
  5. Step 5: Solve for x
    x = 107,978,381.42/13,608.69
  6. Step 6: Final answer
    x = 7,934.52

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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.