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Finding the Fourth Proportional to 17,185.44, 25,758.48 and 7,932

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Solution

The fourth proportional to 17,185.44, 25,758.48 and 7,932 is: 11,888.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.44 : 25,758.48 = 7,932 : x
  2. Step 2: Convert to fraction form
    17,185.44/25,758.48 = 7,932/x
  3. Step 3: Cross multiply
    17,185.44x = 25,758.48 × 7,932
  4. Step 4: Simplify right side
    17,185.44x = 204,316,263.36
  5. Step 5: Solve for x
    x = 204,316,263.36/17,185.44
  6. Step 6: Final answer
    x = 11,888.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.