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Finding the Fourth Proportional to 13,624.56, 18,794.84 and 9,149.58

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Solution

The fourth proportional to 13,624.56, 18,794.84 and 9,149.58 is: 12,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.56 : 18,794.84 = 9,149.58 : x
  2. Step 2: Convert to fraction form
    13,624.56/18,794.84 = 9,149.58/x
  3. Step 3: Cross multiply
    13,624.56x = 18,794.84 × 9,149.58
  4. Step 4: Simplify right side
    13,624.56x = 171,964,846.42
  5. Step 5: Solve for x
    x = 171,964,846.42/13,624.56
  6. Step 6: Final answer
    x = 12,621.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.