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Finding the Fourth Proportional to 27,523.36, 37,982.46 and 14,948.20

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Solution

The fourth proportional to 27,523.36, 37,982.46 and 14,948.20 is: 20,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523.36 : 37,982.46 = 14,948.20 : x
  2. Step 2: Convert to fraction form
    27,523.36/37,982.46 = 14,948.20/x
  3. Step 3: Cross multiply
    27,523.36x = 37,982.46 × 14,948.20
  4. Step 4: Simplify right side
    27,523.36x = 567,769,408.57
  5. Step 5: Solve for x
    x = 567,769,408.57/27,523.36
  6. Step 6: Final answer
    x = 20,628.64

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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.