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Finding the Fourth Proportional to 12,496.14, 17,215.40 and 8,712.43

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Solution

The fourth proportional to 12,496.14, 17,215.40 and 8,712.43 is: 12,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.14 : 17,215.40 = 8,712.43 : x
  2. Step 2: Convert to fraction form
    12,496.14/17,215.40 = 8,712.43/x
  3. Step 3: Cross multiply
    12,496.14x = 17,215.40 × 8,712.43
  4. Step 4: Simplify right side
    12,496.14x = 149,987,946.16
  5. Step 5: Solve for x
    x = 149,987,946.16/12,496.14
  6. Step 6: Final answer
    x = 12,002.74

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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.