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Finding the Fourth Proportional to 18,442, 27,674.34 and 9,683.20

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Solution

The fourth proportional to 18,442, 27,674.34 and 9,683.20 is: 14,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,442 : 27,674.34 = 9,683.20 : x
  2. Step 2: Convert to fraction form
    18,442/27,674.34 = 9,683.20/x
  3. Step 3: Cross multiply
    18,442x = 27,674.34 × 9,683.20
  4. Step 4: Simplify right side
    18,442x = 267,976,169.09
  5. Step 5: Solve for x
    x = 267,976,169.09/18,442
  6. Step 6: Final answer
    x = 14,530.75

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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.