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Finding the Fourth Proportional to 12,380.65, 18,544.70 and 9,735.59

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Solution

The fourth proportional to 12,380.65, 18,544.70 and 9,735.59 is: 14,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.65 : 18,544.70 = 9,735.59 : x
  2. Step 2: Convert to fraction form
    12,380.65/18,544.70 = 9,735.59/x
  3. Step 3: Cross multiply
    12,380.65x = 18,544.70 × 9,735.59
  4. Step 4: Simplify right side
    12,380.65x = 180,543,611.81
  5. Step 5: Solve for x
    x = 180,543,611.81/12,380.65
  6. Step 6: Final answer
    x = 14,582.73

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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.