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Finding the Fourth Proportional to 27,685.97, 38,206.65 and 17,081.75

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Solution

The fourth proportional to 27,685.97, 38,206.65 and 17,081.75 is: 23,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.97 : 38,206.65 = 17,081.75 : x
  2. Step 2: Convert to fraction form
    27,685.97/38,206.65 = 17,081.75/x
  3. Step 3: Cross multiply
    27,685.97x = 38,206.65 × 17,081.75
  4. Step 4: Simplify right side
    27,685.97x = 652,636,603.21
  5. Step 5: Solve for x
    x = 652,636,603.21/27,685.97
  6. Step 6: Final answer
    x = 23,572.83

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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.