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Finding the Fourth Proportional to 27,605.71, 38,097.41 and 16,281.84

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Solution

The fourth proportional to 27,605.71, 38,097.41 and 16,281.84 is: 22,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.71 : 38,097.41 = 16,281.84 : x
  2. Step 2: Convert to fraction form
    27,605.71/38,097.41 = 16,281.84/x
  3. Step 3: Cross multiply
    27,605.71x = 38,097.41 × 16,281.84
  4. Step 4: Simplify right side
    27,605.71x = 620,295,995.49
  5. Step 5: Solve for x
    x = 620,295,995.49/27,605.71
  6. Step 6: Final answer
    x = 22,469.84

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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.