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Finding the Fourth Proportional to 11,785.69, 17,678.49 and 3,020.59

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Solution

The fourth proportional to 11,785.69, 17,678.49 and 3,020.59 is: 4,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.69 : 17,678.49 = 3,020.59 : x
  2. Step 2: Convert to fraction form
    11,785.69/17,678.49 = 3,020.59/x
  3. Step 3: Cross multiply
    11,785.69x = 17,678.49 × 3,020.59
  4. Step 4: Simplify right side
    11,785.69x = 53,399,470.11
  5. Step 5: Solve for x
    x = 53,399,470.11/11,785.69
  6. Step 6: Final answer
    x = 4,530.87

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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.