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Finding the Fourth Proportional to 27,524.25, 37,983.47 and 14,949

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Solution

The fourth proportional to 27,524.25, 37,983.47 and 14,949 is: 20,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.25 : 37,983.47 = 14,949 : x
  2. Step 2: Convert to fraction form
    27,524.25/37,983.47 = 14,949/x
  3. Step 3: Cross multiply
    27,524.25x = 37,983.47 × 14,949
  4. Step 4: Simplify right side
    27,524.25x = 567,814,818.29
  5. Step 5: Solve for x
    x = 567,814,818.29/27,524.25
  6. Step 6: Final answer
    x = 20,629.62

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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.