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Finding the Fourth Proportional to 27,524.80, 37,965 and 17,318.80

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Solution

The fourth proportional to 27,524.80, 37,965 and 17,318.80 is: 23,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,524.80 : 37,965 = 17,318.80 : x
  2. Step 2: Convert to fraction form
    27,524.80/37,965 = 17,318.80/x
  3. Step 3: Cross multiply
    27,524.80x = 37,965 × 17,318.80
  4. Step 4: Simplify right side
    27,524.80x = 657,508,242
  5. Step 5: Solve for x
    x = 657,508,242/27,524.80
  6. Step 6: Final answer
    x = 23,887.85

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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.