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Finding the Fourth Proportional to 27,475.64, 37,896.34 and 17,405.72

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Solution

The fourth proportional to 27,475.64, 37,896.34 and 17,405.72 is: 24,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.64 : 37,896.34 = 17,405.72 : x
  2. Step 2: Convert to fraction form
    27,475.64/37,896.34 = 17,405.72/x
  3. Step 3: Cross multiply
    27,475.64x = 37,896.34 × 17,405.72
  4. Step 4: Simplify right side
    27,475.64x = 659,613,083.06
  5. Step 5: Solve for x
    x = 659,613,083.06/27,475.64
  6. Step 6: Final answer
    x = 24,007.20

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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.