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Finding the Fourth Proportional to 13,734.50, 20,594.46 and 6,335.16

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Solution

The fourth proportional to 13,734.50, 20,594.46 and 6,335.16 is: 9,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,734.50 : 20,594.46 = 6,335.16 : x
  2. Step 2: Convert to fraction form
    13,734.50/20,594.46 = 6,335.16/x
  3. Step 3: Cross multiply
    13,734.50x = 20,594.46 × 6,335.16
  4. Step 4: Simplify right side
    13,734.50x = 130,469,199.21
  5. Step 5: Solve for x
    x = 130,469,199.21/13,734.50
  6. Step 6: Final answer
    x = 9,499.38

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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.