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Finding the Fourth Proportional to 27,471.64, 37,906.29 and 17,261.08

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Solution

The fourth proportional to 27,471.64, 37,906.29 and 17,261.08 is: 23,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.64 : 37,906.29 = 17,261.08 : x
  2. Step 2: Convert to fraction form
    27,471.64/37,906.29 = 17,261.08/x
  3. Step 3: Cross multiply
    27,471.64x = 37,906.29 × 17,261.08
  4. Step 4: Simplify right side
    27,471.64x = 654,303,504.19
  5. Step 5: Solve for x
    x = 654,303,504.19/27,471.64
  6. Step 6: Final answer
    x = 23,817.42

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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.