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Finding the Fourth Proportional to 27,338.38, 40,914.59 and 16,802.84

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Solution

The fourth proportional to 27,338.38, 40,914.59 and 16,802.84 is: 25,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338.38 : 40,914.59 = 16,802.84 : x
  2. Step 2: Convert to fraction form
    27,338.38/40,914.59 = 16,802.84/x
  3. Step 3: Cross multiply
    27,338.38x = 40,914.59 × 16,802.84
  4. Step 4: Simplify right side
    27,338.38x = 687,481,327.71
  5. Step 5: Solve for x
    x = 687,481,327.71/27,338.38
  6. Step 6: Final answer
    x = 25,147.12

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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.