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Finding the Fourth Proportional to 12,389.68, 17,097.42 and 6,724.27

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Solution

The fourth proportional to 12,389.68, 17,097.42 and 6,724.27 is: 9,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.68 : 17,097.42 = 6,724.27 : x
  2. Step 2: Convert to fraction form
    12,389.68/17,097.42 = 6,724.27/x
  3. Step 3: Cross multiply
    12,389.68x = 17,097.42 × 6,724.27
  4. Step 4: Simplify right side
    12,389.68x = 114,967,668.38
  5. Step 5: Solve for x
    x = 114,967,668.38/12,389.68
  6. Step 6: Final answer
    x = 9,279.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.