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Finding the Fourth Proportional to 27,474.24, 37,914.48 and 14,899

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Solution

The fourth proportional to 27,474.24, 37,914.48 and 14,899 is: 20,560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.24 : 37,914.48 = 14,899 : x
  2. Step 2: Convert to fraction form
    27,474.24/37,914.48 = 14,899/x
  3. Step 3: Cross multiply
    27,474.24x = 37,914.48 × 14,899
  4. Step 4: Simplify right side
    27,474.24x = 564,887,837.52
  5. Step 5: Solve for x
    x = 564,887,837.52/27,474.24
  6. Step 6: Final answer
    x = 20,560.64

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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.