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Finding the Fourth Proportional to 18,506.42, 27,762.24 and 6,022.43

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Solution

The fourth proportional to 18,506.42, 27,762.24 and 6,022.43 is: 9,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.42 : 27,762.24 = 6,022.43 : x
  2. Step 2: Convert to fraction form
    18,506.42/27,762.24 = 6,022.43/x
  3. Step 3: Cross multiply
    18,506.42x = 27,762.24 × 6,022.43
  4. Step 4: Simplify right side
    18,506.42x = 167,196,147.04
  5. Step 5: Solve for x
    x = 167,196,147.04/18,506.42
  6. Step 6: Final answer
    x = 9,034.49

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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.