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Finding the Fourth Proportional to 12,496.62, 18,724.16 and 8,791.07

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Solution

The fourth proportional to 12,496.62, 18,724.16 and 8,791.07 is: 13,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496.62 : 18,724.16 = 8,791.07 : x
  2. Step 2: Convert to fraction form
    12,496.62/18,724.16 = 8,791.07/x
  3. Step 3: Cross multiply
    12,496.62x = 18,724.16 × 8,791.07
  4. Step 4: Simplify right side
    12,496.62x = 164,605,470.04
  5. Step 5: Solve for x
    x = 164,605,470.04/12,496.62
  6. Step 6: Final answer
    x = 13,172.00

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Why These Related Problems?

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