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Finding the Fourth Proportional to 11,785.19, 17,677.74 and 3,020.09

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Solution

The fourth proportional to 11,785.19, 17,677.74 and 3,020.09 is: 4,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.19 : 17,677.74 = 3,020.09 : x
  2. Step 2: Convert to fraction form
    11,785.19/17,677.74 = 3,020.09/x
  3. Step 3: Cross multiply
    11,785.19x = 17,677.74 × 3,020.09
  4. Step 4: Simplify right side
    11,785.19x = 53,388,365.80
  5. Step 5: Solve for x
    x = 53,388,365.80/11,785.19
  6. Step 6: Final answer
    x = 4,530.12

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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.