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Finding the Fourth Proportional to 17,215, 23,758.14 and 9,764.44

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Solution

The fourth proportional to 17,215, 23,758.14 and 9,764.44 is: 13,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,215 : 23,758.14 = 9,764.44 : x
  2. Step 2: Convert to fraction form
    17,215/23,758.14 = 9,764.44/x
  3. Step 3: Cross multiply
    17,215x = 23,758.14 × 9,764.44
  4. Step 4: Simplify right side
    17,215x = 231,984,932.54
  5. Step 5: Solve for x
    x = 231,984,932.54/17,215
  6. Step 6: Final answer
    x = 13,475.74

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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.