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Finding the Fourth Proportional to 12,497.14, 17,216.78 and 8,713.43

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Solution

The fourth proportional to 12,497.14, 17,216.78 and 8,713.43 is: 12,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.14 : 17,216.78 = 8,713.43 : x
  2. Step 2: Convert to fraction form
    12,497.14/17,216.78 = 8,713.43/x
  3. Step 3: Cross multiply
    12,497.14x = 17,216.78 × 8,713.43
  4. Step 4: Simplify right side
    12,497.14x = 150,017,207.36
  5. Step 5: Solve for x
    x = 150,017,207.36/12,497.14
  6. Step 6: Final answer
    x = 12,004.12

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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.