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Finding the Fourth Proportional to 13,704.66, 20,529.48 and 6,298.80

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Solution

The fourth proportional to 13,704.66, 20,529.48 and 6,298.80 is: 9,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.66 : 20,529.48 = 6,298.80 : x
  2. Step 2: Convert to fraction form
    13,704.66/20,529.48 = 6,298.80/x
  3. Step 3: Cross multiply
    13,704.66x = 20,529.48 × 6,298.80
  4. Step 4: Simplify right side
    13,704.66x = 129,311,088.62
  5. Step 5: Solve for x
    x = 129,311,088.62/13,704.66
  6. Step 6: Final answer
    x = 9,435.56

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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.