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Finding the Fourth Proportional to 27,523.17, 37,982.05 and 16,193.09

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Solution

The fourth proportional to 27,523.17, 37,982.05 and 16,193.09 is: 22,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.17 : 37,982.05 = 16,193.09 : x
  2. Step 2: Convert to fraction form
    27,523.17/37,982.05 = 16,193.09/x
  3. Step 3: Cross multiply
    27,523.17x = 37,982.05 × 16,193.09
  4. Step 4: Simplify right side
    27,523.17x = 615,046,808.51
  5. Step 5: Solve for x
    x = 615,046,808.51/27,523.17
  6. Step 6: Final answer
    x = 22,346.51

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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.