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Finding the Fourth Proportional to 13,704.30, 20,555.88 and 9,532.26

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Solution

The fourth proportional to 13,704.30, 20,555.88 and 9,532.26 is: 14,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.30 : 20,555.88 = 9,532.26 : x
  2. Step 2: Convert to fraction form
    13,704.30/20,555.88 = 9,532.26/x
  3. Step 3: Cross multiply
    13,704.30x = 20,555.88 × 9,532.26
  4. Step 4: Simplify right side
    13,704.30x = 195,943,992.69
  5. Step 5: Solve for x
    x = 195,943,992.69/13,704.30
  6. Step 6: Final answer
    x = 14,297.99

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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.