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Finding the Fourth Proportional to 18,308.27, 27,470.31 and 7,780.59

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Solution

The fourth proportional to 18,308.27, 27,470.31 and 7,780.59 is: 11,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,308.27 : 27,470.31 = 7,780.59 : x
  2. Step 2: Convert to fraction form
    18,308.27/27,470.31 = 7,780.59/x
  3. Step 3: Cross multiply
    18,308.27x = 27,470.31 × 7,780.59
  4. Step 4: Simplify right side
    18,308.27x = 213,735,371.64
  5. Step 5: Solve for x
    x = 213,735,371.64/18,308.27
  6. Step 6: Final answer
    x = 11,674.26

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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.