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Finding the Fourth Proportional to 13,760.62, 20,644.58 and 8,429.88

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Solution

The fourth proportional to 13,760.62, 20,644.58 and 8,429.88 is: 12,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.62 : 20,644.58 = 8,429.88 : x
  2. Step 2: Convert to fraction form
    13,760.62/20,644.58 = 8,429.88/x
  3. Step 3: Cross multiply
    13,760.62x = 20,644.58 × 8,429.88
  4. Step 4: Simplify right side
    13,760.62x = 174,031,332.05
  5. Step 5: Solve for x
    x = 174,031,332.05/13,760.62
  6. Step 6: Final answer
    x = 12,647.06

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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.